
Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 442.0ms (51.7% of total)ival-sin: 205.0ms (24% of total)ival-div: 140.0ms (16.4% of total)ival-sinh: 60.0ms (7% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (sinh.f64 y) y) |
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (sinh.f64 y) y) | o/n | 1 | 0 |
| ↳ | (sinh.f64 y) | overflow | 117 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 11.0ms (44.3% of total)ival-div: 8.0ms (32.2% of total)ival-mult: 3.0ms (12.1% of total)ival-sinh: 3.0ms (12.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 656× | lower-fma.f64 |
| 2 656× | lower-fma.f32 |
| 1 792× | lower-*.f32 |
| 1 790× | lower-*.f64 |
| 1 194× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 60 | 41 |
| 2 | 172 | 41 |
| 3 | 580 | 37 |
| 4 | 1988 | 37 |
| 5 | 4628 | 37 |
| 6 | 6336 | 37 |
| 7 | 7331 | 37 |
| 8 | 7843 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 36 | 7 |
| 3 | 74 | 7 |
| 4 | 154 | 7 |
| 5 | 302 | 7 |
| 6 | 761 | 7 |
| 7 | 1800 | 7 |
| 8 | 3035 | 7 |
| 9 | 4031 | 7 |
| 10 | 4516 | 7 |
| 11 | 4594 | 7 |
| 12 | 4597 | 7 |
| 13 | 4599 | 7 |
| 14 | 5019 | 7 |
| 15 | 5239 | 7 |
| 16 | 5359 | 7 |
| 17 | 5493 | 7 |
| 18 | 5597 | 7 |
| 19 | 5637 | 7 |
| 20 | 5653 | 7 |
| 21 | 5661 | 7 |
| 22 | 5661 | 7 |
| 23 | 5779 | 7 |
| 24 | 6017 | 7 |
| 25 | 6053 | 7 |
| 26 | 6053 | 7 |
| 27 | 6053 | 7 |
| 0 | 6053 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(abs y)
(negabs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
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 | (/.f64 (sinh.f64 y) y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2 656× | lower-fma.f64 |
| 2 656× | lower-fma.f32 |
| 1 792× | lower-*.f32 |
| 1 790× | lower-*.f64 |
| 1 194× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 36 | 17 |
| 3 | 74 | 17 |
| 4 | 154 | 17 |
| 5 | 302 | 17 |
| 6 | 761 | 17 |
| 7 | 1800 | 17 |
| 8 | 3035 | 17 |
| 9 | 4031 | 17 |
| 10 | 4516 | 17 |
| 11 | 4594 | 17 |
| 12 | 4597 | 17 |
| 13 | 4599 | 17 |
| 14 | 5019 | 17 |
| 15 | 5239 | 17 |
| 16 | 5359 | 17 |
| 17 | 5493 | 17 |
| 18 | 5597 | 17 |
| 19 | 5637 | 17 |
| 20 | 5653 | 17 |
| 21 | 5661 | 17 |
| 22 | 5661 | 17 |
| 23 | 5779 | 17 |
| 24 | 6017 | 17 |
| 25 | 6053 | 17 |
| 26 | 6053 | 17 |
| 27 | 6053 | 17 |
| 0 | 6053 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
x |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) | |
| accuracy | 0 | (sinh.f64 y) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.21385380263328232 | (/.f64 (sinh.f64 y) y) |
| 17.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-sin: 6.0ms (54.5% of total)ival-div: 2.0ms (18.2% of total)ival-mult: 2.0ms (18.2% of total)ival-sinh: 1.0ms (9.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sinh.f64 y) (patch (sinh.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (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) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (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) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) (patch (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt 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>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (* (sin x) (/ (sinh y) y)) |
| 2.0ms | y | @ | inf | (* (sin x) (/ (sinh y) y)) |
| 1.0ms | x | @ | inf | (* (sin x) (/ (sinh y) y)) |
| 1.0ms | y | @ | 0 | (* (sin x) (/ (sinh y) y)) |
| 1.0ms | x | @ | 0 | (* (sin x) (/ (sinh y) y)) |
| 1× | egg-herbie |
| 15 526× | lower-fma.f64 |
| 15 526× | lower-fma.f32 |
| 6 162× | lower-*.f64 |
| 6 162× | lower-*.f32 |
| 2 900× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 897 | 643 |
| 3 | 3139 | 635 |
| 4 | 7365 | 635 |
| 0 | 8523 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
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 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(*.f64 x (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
| 5 128× | lower-*.f32 |
| 5 126× | lower-*.f64 |
| 4 518× | lower-/.f32 |
| 4 516× | lower-/.f64 |
| 1 718× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 26 | 15 |
| 2 | 121 | 15 |
| 3 | 870 | 15 |
| 0 | 8384 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin.f64 x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y))) |
(fma.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y)))) |
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 y) y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y)) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (-.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 y (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
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(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 y)) #s(literal 3 binary64))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (pow.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (sinh.f64 y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal -1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 y y))) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (cosh.f64 y))) |
(/.f64 (*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) #s(literal 2 binary64)) (cosh.f64 y)) |
(pow.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (cosh.f64 y) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(*.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (*.f64 (exp.f64 (+.f64 y y)) #s(literal 1/4 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64))) (fma.f64 (exp.f64 (+.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (+.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 y y)) (expm1.f64 (-.f64 (neg.f64 y) y)))) |
Compiled 13 190 to 2 060 computations (84.4% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 6 | 702 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 696 | 7 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| ▶ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| ▶ | 86.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| ▶ | 76.6% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 67.7% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) | |
| ▶ | 61.6% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 54.6% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
Compiled 195 to 120 computations (38.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 5 096× | lower-fma.f32 |
| 5 082× | lower-fma.f64 |
| 3 210× | lower-*.f32 |
| 3 188× | lower-*.f64 |
| 1 064× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 285 |
| 0 | 67 | 277 |
| 1 | 129 | 277 |
| 2 | 241 | 277 |
| 3 | 443 | 277 |
| 4 | 744 | 277 |
| 5 | 1013 | 277 |
| 6 | 1743 | 277 |
| 7 | 3364 | 277 |
| 8 | 4872 | 277 |
| 9 | 6220 | 277 |
| 10 | 7005 | 277 |
| 11 | 7539 | 277 |
| 12 | 7741 | 277 |
| 13 | 7777 | 277 |
| 14 | 7825 | 277 |
| 15 | 7884 | 277 |
| 0 | 8059 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(sin.f64 x) |
x |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.21385380263328232 | (/.f64 (sinh.f64 y) y) | |
| accuracy | 30.309229043589454 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.046875 | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) | |
| accuracy | 0.08984375 | (*.f64 y #s(literal 1/120 binary64)) | |
| accuracy | 0.2109375 | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) | |
| accuracy | 8.719003415582094 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 0.09765625 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 14.84362393516717 | #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (sin.f64 x) | |
| accuracy | 29.060381045271434 | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) | |
| accuracy | 0.11328125 | (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) | |
| accuracy | 0.203125 | (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) | |
| accuracy | 0.25668212840448695 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| 68.0ms | 256× | 0 | valid |
Compiled 209 to 34 computations (83.7% saved)
ival-mult: 20.0ms (40.9% of total)const: 12.0ms (24.5% of total)ival-add: 7.0ms (14.3% of total)ival-sin: 6.0ms (12.3% of total)ival-div: 2.0ms (4.1% of total)ival-sinh: 1.0ms (2% 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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (patch #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (patch (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/120 binary64)) (patch (*.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt (/.f64 (sinh.f64 y) y) (patch (/.f64 (sinh.f64 y) y) #<representation binary64>) () ())) ()) |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (* y (+ (* (* y y) 1/5040) 1/120)) |
| 1.0ms | y | @ | inf | (+ (* y (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6))) 1) |
| 0.0ms | x | @ | inf | (+ (* -1/6 (* x (* x x))) x) |
| 0.0ms | y | @ | inf | (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | egg-herbie |
| 13 882× | lower-fma.f64 |
| 13 882× | lower-fma.f32 |
| 5 170× | lower-*.f64 |
| 5 170× | lower-*.f32 |
| 2 304× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 3670 |
| 1 | 470 | 3605 |
| 2 | 1354 | 3405 |
| 3 | 4046 | 3363 |
| 0 | 8196 | 3185 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 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 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
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))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* 1/120 y) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
| Outputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) |
| 4 732× | lower-fma.f32 |
| 4 718× | lower-fma.f64 |
| 4 614× | lower-*.f32 |
| 4 592× | lower-*.f64 |
| 4 356× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 241 |
| 0 | 67 | 233 |
| 1 | 217 | 233 |
| 2 | 1399 | 233 |
| 0 | 8175 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y y) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 y #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(/.f64 (sinh.f64 y) y) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (sinh.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) y) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1/2 binary64))) |
Compiled 25 383 to 2 202 computations (91.3% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 860 | 20 | 880 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 861 | 26 | 887 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 69.2% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 58.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | 86.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 90.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) | |
| ✓ | 76.6% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 35.5% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) | |
| 35.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) | |
| ▶ | 25.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| 57.3% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 55.1% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 50.5% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 57.5% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 61.6% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
| 54.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 57.1% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 54.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 50.3% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 50.3% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 11.5% | (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) | |
| ✓ | 54.6% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| ▶ | 38.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 45.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| ▶ | 36.2% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
Compiled 1 035 to 579 computations (44.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 5 580× | lower-fma.f32 |
| 5 562× | lower-fma.f64 |
| 3 170× | lower-*.f32 |
| 3 142× | lower-*.f64 |
| 2 342× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 514 |
| 0 | 85 | 490 |
| 1 | 166 | 490 |
| 2 | 322 | 490 |
| 3 | 669 | 490 |
| 4 | 1387 | 490 |
| 5 | 1709 | 490 |
| 6 | 2232 | 490 |
| 7 | 3278 | 490 |
| 8 | 4507 | 490 |
| 9 | 5512 | 490 |
| 10 | 6127 | 490 |
| 11 | 6459 | 490 |
| 12 | 7784 | 490 |
| 0 | 8588 | 487 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
#s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) #s(literal 1/6 binary64)) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal -1/5040 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
#s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
y |
(*.f64 y #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 y (*.f64 y #s(literal 1/6 binary64))) | |
| accuracy | 0.30859375 | (*.f64 y #s(literal 1/6 binary64)) | |
| accuracy | 14.84362393516717 | #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) | |
| accuracy | 33.56463467963943 | #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) | |
| accuracy | 0.203125 | (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) | |
| accuracy | 0.25668212840448695 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 30.30922904358949 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.045253759768442016 | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 29.060381045271434 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| accuracy | 30.106536995740942 | #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.0625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 29.060381045271434 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) | |
| accuracy | 30.30922904358949 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.203125 | (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) | |
| accuracy | 0.31136962840448695 | (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) | |
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 33.63871635429049 | #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
| 124.0ms | 256× | 0 | valid |
Compiled 318 to 38 computations (88.1% saved)
const: 47.0ms (52.7% of total)ival-mult: 24.0ms (26.9% of total)ival-add: 8.0ms (9% of total)ival-sin: 6.0ms (6.7% of total)ival-div: 2.0ms (2.2% 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 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (patch #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (patch #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/5040 (pow y 5)) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) (taylor -inf y) (#s(alt (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/6 binary64)) (patch (*.f64 y #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 y #s(literal 1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (* x (* x x))) x) |
| 0.0ms | x | @ | inf | (+ (* (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (* x (* x x))) x) |
| 0.0ms | y | @ | -inf | (* y 1/6) |
| 0.0ms | y | @ | inf | (* y 1/6) |
| 1× | egg-herbie |
| 14 056× | lower-fma.f64 |
| 14 056× | lower-fma.f32 |
| 5 296× | lower-*.f64 |
| 5 296× | lower-*.f32 |
| 2 932× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 3828 |
| 1 | 487 | 3751 |
| 2 | 1462 | 3549 |
| 3 | 4470 | 3505 |
| 0 | 8236 | 3344 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 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)))) |
1/120 |
(+ 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)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1/120 |
(+ 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))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
| Outputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/10080 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
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(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(* 1/5040 (pow y 5)) |
(*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* 1/5040 (pow y 5)) |
(*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| 6 892× | lower-fma.f32 |
| 6 874× | lower-fma.f64 |
| 4 258× | lower-*.f32 |
| 4 230× | lower-*.f64 |
| 3 946× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 372 |
| 0 | 85 | 356 |
| 1 | 287 | 356 |
| 2 | 1921 | 356 |
| 0 | 8314 | 353 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
#s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
#s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))))) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
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(/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 y #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 y #s(literal 1/6 binary64))))) |
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(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y)) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
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(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 y #s(literal 1/6 binary64))))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1 binary64))) |
Compiled 25 392 to 1 418 computations (94.4% saved)
42 alts after pruning (33 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 759 | 23 | 782 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 766 | 42 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 69.2% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 58.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | 86.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 90.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) | |
| ✓ | 76.6% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 35.5% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) | |
| 35.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) | |
| 25.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| ✓ | 25.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| 57.1% | (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| 57.3% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 55.1% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 57.3% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 57.3% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 20.9% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| 28.0% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| 21.0% | (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| ✓ | 61.6% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
| 54.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 36.7% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| 36.7% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) | |
| ▶ | 35.2% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 42.2% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 42.2% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 35.2% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 54.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 56.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) | |
| 50.3% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 30.1% | (*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 10.8% | (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 11.5% | (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) | |
| ✓ | 54.6% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| ✓ | 38.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 45.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| 36.2% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) | |
| 37.6% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) | |
| ✓ | 36.2% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
| 36.1% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) | |
| ▶ | 6.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
Compiled 2 099 to 1 113 computations (47% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))) | |
| cost-diff | 640 | (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 6 158× | lower-fma.f32 |
| 6 128× | lower-fma.f64 |
| 4 154× | lower-*.f32 |
| 4 106× | lower-*.f64 |
| 2 224× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 973 |
| 0 | 136 | 881 |
| 1 | 272 | 839 |
| 2 | 572 | 839 |
| 3 | 1182 | 839 |
| 4 | 2109 | 839 |
| 5 | 3124 | 839 |
| 6 | 4751 | 839 |
| 7 | 7256 | 839 |
| 0 | 8334 | 822 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64)) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y)) |
(*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) |
(*.f64 y #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64)) |
(*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) |
#s(literal 1/128024064000 binary64) |
#s(literal 1/1728000 binary64) |
(fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
#s(literal 1/25401600 binary64) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))) |
#s(literal 1/14400 binary64) |
(*.f64 (*.f64 y y) #s(literal 1/604800 binary64)) |
#s(literal 1/604800 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (sin.f64 x)) |
(sin.f64 x) |
x |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64)) |
(fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y)) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) |
(*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(*.f64 y #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
x |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x x) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y y) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
#s(approx (sin x) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) |
(*.f64 y (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 y y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) |
#s(literal 1/128024064000 binary64) |
#s(literal 1/1728000 binary64) |
(fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)) #s(literal 1/14400 binary64)) |
#s(literal 1/25401600 binary64) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(*.f64 y (*.f64 y (*.f64 y y))) |
(-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) |
#s(literal 1/14400 binary64) |
(*.f64 (*.f64 y y) #s(literal 1/604800 binary64)) |
#s(literal 1/604800 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 11.023437500000002 | (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) | |
| accuracy | 20.070416525886493 | (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) | |
| accuracy | 30.30922904358949 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.25668212840448695 | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 0.2771276659783014 | (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 30.106536995740942 | #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.203125 | (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) | |
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 28.535851673251234 | #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) | |
| accuracy | 30.30922904358949 | #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.30859375 | (*.f64 x #s(literal -1/6 binary64)) | |
| accuracy | 29.060381045271434 | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) | |
| accuracy | 30.309229043589454 | #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) | |
| accuracy | 32.25538354514129 | #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) | |
| accuracy | 0.203125 | (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) | |
| accuracy | 5.914021850293263 | #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| accuracy | 33.63871635429049 | #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y)) |
| 158.0ms | 256× | 0 | valid |
Compiled 667 to 59 computations (91.2% saved)
const: 56.0ms (44.2% of total)ival-mult: 40.0ms (31.5% of total)ival-add: 16.0ms (12.6% of total)ival-sin: 7.0ms (5.5% of total)ival-sinh: 4.0ms (3.2% of total)ival-div: 3.0ms (2.4% of total)ival-sub: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) (patch #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) (patch #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) (patch #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (patch (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))) (patch (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y)) (patch #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) (patch (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) (patch (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sin x) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) (taylor 0 y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ (+ (* (* y (* y y)) (* (* y (* y y)) 1/128024064000)) 1/1728000) (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800)))) |
| 0.0ms | y | @ | 0 | (/ (+ (* (* y (* y y)) (* (* y (* y y)) 1/128024064000)) 1/1728000) (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800)))) |
| 0.0ms | y | @ | inf | (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) |
| 0.0ms | y | @ | 0 | (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) |
| 0.0ms | x | @ | inf | (* (* x x) (* x -1/6)) |
| 1× | egg-herbie |
| 14 048× | lower-fma.f64 |
| 14 048× | lower-fma.f32 |
| 5 472× | lower-*.f64 |
| 5 472× | lower-*.f32 |
| 3 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 4458 |
| 1 | 530 | 4357 |
| 2 | 1562 | 4155 |
| 3 | 4698 | 4111 |
| 0 | 8347 | 3897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
1/14400 |
(+ 1/14400 (* -1/604800 (pow y 2))) |
(+ 1/14400 (* (pow y 2) (- (* 1/25401600 (pow y 2)) 1/604800))) |
(+ 1/14400 (* (pow y 2) (- (* 1/25401600 (pow y 2)) 1/604800))) |
(* 1/25401600 (pow y 4)) |
(* (pow y 4) (- 1/25401600 (* 1/604800 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/25401600 (/ 1/14400 (pow y 4))) (* 1/604800 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/25401600 (/ 1/14400 (pow y 4))) (* 1/604800 (/ 1 (pow y 2))))) |
(* 1/25401600 (pow y 4)) |
(* (pow y 4) (- 1/25401600 (* 1/604800 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/25401600 (/ 1/14400 (pow y 4))) (* 1/604800 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/25401600 (/ 1/14400 (pow y 4))) (* 1/604800 (/ 1 (pow y 2))))) |
1/14400 |
(+ 1/14400 (* -1/604800 (pow y 2))) |
(+ 1/14400 (* -1/604800 (pow y 2))) |
(+ 1/14400 (* -1/604800 (pow y 2))) |
(* -1/604800 (pow y 2)) |
(* (pow y 2) (- (* 1/14400 (/ 1 (pow y 2))) 1/604800)) |
(* (pow y 2) (- (* 1/14400 (/ 1 (pow y 2))) 1/604800)) |
(* (pow y 2) (- (* 1/14400 (/ 1 (pow y 2))) 1/604800)) |
(* -1/604800 (pow y 2)) |
(* (pow y 2) (- (* 1/14400 (/ 1 (pow y 2))) 1/604800)) |
(* (pow y 2) (- (* 1/14400 (/ 1 (pow y 2))) 1/604800)) |
(* (pow y 2) (- (* 1/14400 (/ 1 (pow y 2))) 1/604800)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (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)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
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))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* 1/5040 (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)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
| Outputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
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1/14400 |
#s(literal 1/14400 binary64) |
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1/14400 |
#s(literal 1/14400 binary64) |
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1/120 |
#s(literal 1/120 binary64) |
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1/120 |
#s(literal 1/120 binary64) |
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1 |
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(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/5040 (pow y 5)) |
(*.f64 y (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* 1/5040 (pow y 5)) |
(*.f64 y (*.f64 y (*.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y))))) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (-.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (-.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
| 4 464× | lower-fma.f32 |
| 4 438× | lower-fma.f64 |
| 4 184× | lower-*.f32 |
| 4 140× | lower-*.f64 |
| 3 322× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 578 |
| 0 | 136 | 490 |
| 1 | 467 | 469 |
| 2 | 3395 | 469 |
| 0 | 8158 | 467 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
(-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y)) |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
#s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 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))) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 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)))) |
(sin.f64 x) |
#s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 y (*.f64 y (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/128024064000 binary64))) #s(literal -1/1728000 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2098335016107155751174144000000000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1/5159780352000000000 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal 1/2985984000000 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/221225582592000000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/25401600 binary64)))) (*.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2098335016107155751174144000000000 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1/5159780352000000000 binary64)) (fma.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal 1/2985984000000 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/221225582592000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/128024064000 binary64))) #s(literal -1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/25401600 binary64)))) (*.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 #s(literal 1/645241282560000 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/604800 binary64) #s(literal 1/14400 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/128024064000 binary64))) #s(literal -1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
#s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
Compiled 43 703 to 2 557 computations (94.1% saved)
39 alts after pruning (27 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 971 | 8 | 979 |
| Fresh | 9 | 19 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 982 | 39 | 1 021 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 69.2% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 58.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 90.7% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| ✓ | 86.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 90.4% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) | |
| ✓ | 76.6% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 35.5% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) | |
| 35.3% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) | |
| 25.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) | |
| ✓ | 25.8% | (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| 54.8% | (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| 57.1% | (*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) | |
| 55.1% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 20.9% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| 57.0% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 28.0% | (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| 21.0% | (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) | |
| 56.9% | (*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 61.6% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
| 54.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 59.0% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 54.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| 56.8% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) | |
| 50.3% | (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 10.8% | (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 11.5% | (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) | |
| 10.8% | (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 54.6% | #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
| ✓ | 38.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
| 45.0% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| 36.2% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) | |
| 37.6% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) | |
| ✓ | 36.2% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
| 36.1% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) | |
| 6.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) | |
| 6.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) | |
| ✓ | 6.9% | #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
Compiled 2 250 to 679 computations (69.8% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 23.0ms | x |
| 20.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 16.0ms | (sin.f64 x) |
| 16.0ms | y |
| 15.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 99.7% | 1 | (sin.f64 x) |
| 99.7% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 21.0ms | x |
| 18.0ms | y |
| 16.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 16.0ms | (sin.f64 x) |
| 14.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 2 | x |
| 97.0% | 3 | y |
| 99.0% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 94.5% | 3 | (sin.f64 x) |
| 90.7% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
1 calls:
| 16.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
2 calls:
| 26.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | y |
| 92.6% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
1 calls:
| 42.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
1 calls:
| 36.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
4 calls:
| 34.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 27.0ms | x |
| 14.0ms | (sin.f64 x) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 92.2% | 3 | (sin.f64 x) |
| 92.2% | 2 | x |
| 94.0% | 3 | y |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
4 calls:
| 43.0ms | (sin.f64 x) |
| 37.0ms | (/.f64 (sinh.f64 y) y) |
| 13.0ms | x |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 3 | (sin.f64 x) |
| 89.9% | 2 | x |
| 86.3% | 1 | (/.f64 (sinh.f64 y) y) |
| 91.4% | 3 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
2 calls:
| 42.0ms | x |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | y |
| 84.4% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 34.0ms | y |
| 29.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 12.0ms | (sin.f64 x) |
| 9.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | (/.f64 (sinh.f64 y) y) |
| 88.4% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 84.4% | 3 | (sin.f64 x) |
| 87.7% | 3 | y |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 33.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 32.0ms | (sin.f64 x) |
| 29.0ms | y |
| 10.0ms | x |
| 9.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 8.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 1 | (/.f64 (sinh.f64 y) y) |
| 74.6% | 2 | (sin.f64 x) |
| 67.6% | 2 | x |
| 61.3% | 2 | y |
| 66.8% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 29.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (sin.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 9.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 2 | (sin.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) -1/5040) 1/120))) -1/6) (*.f64 x (*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) -1/5040) 1/120) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 9.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | (sin.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 2 | (sin.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sinh y) y) (fma.f64 (fma.f64 #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 6.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 2 | (sin.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
1 calls:
| 5.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 2 | (sin.f64 x) |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
3 calls:
| 5.0ms | (sin.f64 x) |
| 5.0ms | x |
| 4.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 58.9% | 2 | x |
| 65.5% | 2 | (sin.f64 x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(approx (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
2 calls:
| 36.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 4.0ms | (sin.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 2 | (sin.f64 x) |
| 53.9% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
4 calls:
| 3.0ms | y |
| 3.0ms | (sin.f64 x) |
| 3.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 3 | x |
| 50.2% | 2 | (/.f64 (sinh.f64 y) y) |
| 55.2% | 2 | y |
| 53.3% | 2 | (sin.f64 x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
4 calls:
| 3.0ms | (sin.f64 x) |
| 3.0ms | y |
| 2.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 1 | (/.f64 (sinh.f64 y) y) |
| 49.8% | 2 | (sin.f64 x) |
| 49.8% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 45.0% | 1 | y |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x x))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
5 calls:
| 16.0ms | x |
| 2.0ms | (sin.f64 x) |
| 2.0ms | y |
| 2.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.2% | 1 | y |
| 36.2% | 1 | (/.f64 (sinh.f64 y) y) |
| 36.2% | 1 | x |
| 36.2% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 36.2% | 1 | (sin.f64 x) |
Compiled 25 to 17 computations (32% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
| Outputs |
|---|
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
5 calls:
| 2.0ms | (sin.f64 x) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.9% | 1 | (sin.f64 x) |
| 6.9% | 1 | x |
| 6.9% | 1 | y |
| 6.9% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 6.9% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 34931024065.16673 | +inf |
| 0.0ms | -inf | -0.9903336910782644 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 34931024065.16673 | +inf |
| 0.0ms | -inf | -0.9903336910782644 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 6.039824698727074e+40 | 4.445294340450624e+53 |
| 8.0ms | 26882.045896300555 | 44794.78934377687 |
| 15.0ms | 224× | 0 | valid |
Compiled 562 to 341 computations (39.3% saved)
ival-sin: 6.0ms (57.5% of total)ival-sinh: 2.0ms (19.2% of total)ival-div: 1.0ms (9.6% of total)ival-mult: 1.0ms (9.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.039824698727074e+40 | 4.445294340450624e+53 |
| 1.0ms | 26882.045896300555 | 44794.78934377687 |
Compiled 562 to 337 computations (40% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.039824698727074e+40 | 4.445294340450624e+53 |
| 0.0ms | 26882.045896300555 | 44794.78934377687 |
Compiled 542 to 329 computations (39.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 5.4249311748518976e+70 | 6.3206719089069715e+72 |
| 1.0ms | 26882.045896300555 | 44794.78934377687 |
| 7.0ms | 112× | 0 | valid |
Compiled 390 to 239 computations (38.7% saved)
ival-sin: 2.0ms (45.5% of total)ival-div: 1.0ms (22.7% of total)ival-mult: 1.0ms (22.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.028484229767092185 | 0.2509306495159149 |
| 5.0ms | 96× | 0 | valid |
Compiled 366 to 215 computations (41.3% saved)
ival-div: 1.0ms (35.6% of total)ival-mult: 1.0ms (35.6% of total)ival-sin: 1.0ms (35.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.4249311748518976e+70 | 6.3206719089069715e+72 |
| 1.0ms | 26882.045896300555 | 44794.78934377687 |
Compiled 634 to 359 computations (43.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 34931024065.16673 | +inf |
| 0.0ms | -inf | -0.9903336910782644 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 34931024065.16673 | +inf |
| 0.0ms | -inf | -0.9903336910782644 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02848037813698928 | 0.03848391428416698 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02848037813698928 | 0.03848391428416698 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02848037813698928 | 0.03848391428416698 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02848037813698928 | 0.03848391428416698 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02848037813698928 | 0.03848391428416698 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.537052334552797e-8 | 8.474553973303443e-5 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03848391428416698 | 0.03913206871383888 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.2483055698612567 | 0.32786274014773376 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.474553973303443e-5 | 0.00814866202779117 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.587065472585493e+152 | 1.2569163002368945e+153 |
| 6.0ms | 96× | 0 | valid |
Compiled 240 to 131 computations (45.4% saved)
ival-sin: 2.0ms (53.2% of total)ival-div: 1.0ms (26.6% of total)ival-mult: 1.0ms (26.6% 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 | -0.0891419240328848 | 1.4196069310691168e-306 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 102× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 1782 |
| 1 | 266 | 1782 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(if (<=.f64 x #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 5620492334958379/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5404319552844595/18014398509481984 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(if (<=.f64 (sin.f64 x) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 y #s(literal 299999999999999990616485230253177924425316964769072966159142639609639732253652578989693040017876728957855364511034973828357501668031631516797003911659520 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(if (<=.f64 (sin.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (/.f64 (*.f64 y (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y #s(literal 1/5040 binary64)) y))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 9799999999999999667719697851760779588563330674982912 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (/.f64 (sinh.f64 y) y)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(if (<=.f64 x #s(literal 8358680908399641/288230376151711744 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 27000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 y #s(literal 6199999999999999769266885421026604671075841285071158597492732714450681856 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) #s(approx (+ (* y (* y (+ (* y (* y 1/120)) 1/6))) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) (*.f64 (sin.f64 x) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 50000000000 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) (sin.f64 x)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) #s(approx (+ (* 1/25401600 (* (* y y) (* y y))) (- 1/14400 (* (* y y) 1/604800))) #s(literal 1/14400 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(approx (+ (* (* y y) 1/5040) 1/120) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 1080863910568919/36028797018963968 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y #s(approx (* y (+ (* y (* y (+ (* (* y y) 1/5040) 1/120))) 1/6)) (*.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (sin.f64 x) #s(literal 3022314549036573/151115727451828646838272 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal 5620492334958379/144115188075855872 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5404319552844595/18014398509481984 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(if (<=.f64 (sin.f64 x) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) #s(approx (/ (sinh y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(if (<=.f64 y #s(literal 299999999999999990616485230253177924425316964769072966159142639609639732253652578989693040017876728957855364511034973828357501668031631516797003911659520 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (*.f64 #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(if (<=.f64 y #s(literal 299999999999999990616485230253177924425316964769072966159142639609639732253652578989693040017876728957855364511034973828357501668031631516797003911659520 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (*.f64 #s(approx (/ (sinh y) y) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) #s(approx (sin x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)))) |
(if (<=.f64 (sin.f64 x) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) #s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
#s(approx (* (sin x) (/ (sinh y) y)) #s(approx (sin x) #s(approx (+ (* -1/6 (* x (* x x))) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))))) |
| 15 526× | lower-fma.f64 |
| 15 526× | lower-fma.f32 |
| 14 056× | lower-fma.f64 |
| 14 056× | lower-fma.f32 |
| 14 048× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 372 |
| 0 | 85 | 356 |
| 1 | 287 | 356 |
| 2 | 1921 | 356 |
| 0 | 8314 | 353 |
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 897 | 643 |
| 3 | 3139 | 635 |
| 4 | 7365 | 635 |
| 0 | 8523 | 605 |
| 0 | 162 | 3828 |
| 1 | 487 | 3751 |
| 2 | 1462 | 3549 |
| 3 | 4470 | 3505 |
| 0 | 8236 | 3344 |
| 0 | 37 | 241 |
| 0 | 67 | 233 |
| 1 | 217 | 233 |
| 2 | 1399 | 233 |
| 0 | 8175 | 233 |
| 0 | 148 | 3670 |
| 1 | 470 | 3605 |
| 2 | 1354 | 3405 |
| 3 | 4046 | 3363 |
| 0 | 8196 | 3185 |
| 0 | 183 | 4458 |
| 1 | 530 | 4357 |
| 2 | 1562 | 4155 |
| 3 | 4698 | 4111 |
| 0 | 8347 | 3897 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 722 to 1 076 computations (60.5% saved)
(negabs x)
(abs y)
Compiled 2 620 to 366 computations (86% saved)
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