
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 917.0ms | 8 256× | 0 | valid |
ival-sin: 244.0ms (65.2% of total)ival-div: 65.0ms (17.4% of total)ival-mult: 55.0ms (14.7% of total)ival-true: 7.0ms (1.9% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 1 | (-3.313241438101791e+163 1.2504585450523074e+308) | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 40 to 19 computations (52.5% saved)
ival-sin: 32.0ms (80.4% of total)ival-div: 4.0ms (10% of total)ival-mult: 3.0ms (7.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 300× | times-frac |
| 148× | associate-*r* |
| 139× | associate-*l* |
| 91× | unsub-neg |
| 90× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 46 | 32 |
| 2 | 122 | 32 |
| 3 | 323 | 32 |
| 4 | 1107 | 32 |
| 5 | 1811 | 32 |
| 6 | 1904 | 32 |
| 7 | 1938 | 32 |
| 8 | 1966 | 32 |
| 9 | 1978 | 32 |
| 10 | 1978 | 32 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 11 | 6 |
| 2 | 13 | 6 |
| 3 | 15 | 6 |
| 4 | 16 | 6 |
| 0 | 16 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(abs y)
(negabs x)
Compiled 8 to 5 computations (37.5% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 6× | lower-*.f32 |
| 5× | lower-*.f64 |
| 3× | *-commutative |
| 3× | lower-/.f32 |
| 2× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 11 | 14 |
| 2 | 13 | 14 |
| 3 | 15 | 14 |
| 4 | 16 | 14 |
| 0 | 16 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.1283514882622171 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.140625 | (/.f64 (sin.f64 y) y) |
| 17.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 7.0ms (65.6% of total)ival-div: 2.0ms (18.7% of total)ival-mult: 2.0ms (18.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | 0 | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | -inf | (* x (/ (sin y) y)) |
| 0.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 1× | egg-herbie |
| 8 060× | lower-fma.f64 |
| 8 060× | lower-fma.f32 |
| 2 187× | lower-*.f64 |
| 2 187× | lower-*.f32 |
| 1 193× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 910 | 294 |
| 4 | 1439 | 294 |
| 5 | 2227 | 294 |
| 6 | 3349 | 294 |
| 7 | 3639 | 294 |
| 8 | 4369 | 294 |
| 9 | 6831 | 294 |
| 0 | 8504 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
| 491× | unpow-prod-down |
| 418× | lower-*.f32 |
| 417× | lower-*.f64 |
| 385× | frac-2neg |
| 359× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 18 |
| 1 | 19 | 18 |
| 2 | 72 | 18 |
| 3 | 336 | 18 |
| 4 | 1798 | 18 |
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1798 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (neg.f64 x) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))) (/.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 y) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
Compiled 2 248 to 439 computations (80.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 12 | 199 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 187 | 13 | 200 |
| Status | Accuracy | Program |
|---|---|---|
| 88.3% | (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 52.9% | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) | |
| ▶ | 86.9% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 52.1% | (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) | |
| 99.5% | (/.f64 x (/.f64 y (sin.f64 y))) | |
| 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 49.9% | (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y)) | |
| ▶ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 49.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ▶ | 50.4% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 49.8% | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
| ▶ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
Compiled 310 to 199 computations (35.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/120 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 1 440× | lower-fma.f32 |
| 1 435× | lower-fma.f64 |
| 1 208× | distribute-lft-in |
| 1 061× | distribute-rgt-in |
| 738× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 210 |
| 0 | 53 | 212 |
| 1 | 93 | 206 |
| 2 | 160 | 206 |
| 3 | 387 | 206 |
| 4 | 1001 | 206 |
| 5 | 1709 | 206 |
| 6 | 3391 | 206 |
| 7 | 3468 | 206 |
| 8 | 3573 | 206 |
| 9 | 3811 | 206 |
| 10 | 3844 | 206 |
| 11 | 3853 | 206 |
| 12 | 4785 | 206 |
| 13 | 6808 | 206 |
| 14 | 6914 | 206 |
| 15 | 6918 | 206 |
| 16 | 6918 | 206 |
| 17 | 7133 | 206 |
| 18 | 7503 | 206 |
| 19 | 7688 | 206 |
| 20 | 7693 | 206 |
| 21 | 7693 | 206 |
| 0 | 7693 | 206 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
x |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (*.f64 y y) x) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 y y) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
x |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.16015625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.353152002816243 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) | |
| accuracy | 1.605709222480438 | (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) | |
| accuracy | 32.030480744153415 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) | |
| accuracy | 0.12109375 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 6.5226914166727825 | (*.f64 (*.f64 y y) x) | |
| accuracy | 32.13389770075725 | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) | |
| accuracy | 0.1283514882622171 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 31.90422611509703 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.1283514882622171 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) | |
| accuracy | 0.27962875976844204 | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 96.0ms | 256× | 0 | valid |
Compiled 189 to 32 computations (83.1% saved)
ival-mult: 53.0ms (66.7% of total)const: 9.0ms (11.3% of total)ival-div: 6.0ms (7.6% of total)ival-sin: 6.0ms (7.6% of total)ival-add: 5.0ms (6.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) (patch (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/120 binary64) y) (patch (*.f64 #s(literal 1/120 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) (patch (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/120 (* -1/5040 (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/5040 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (patch (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (* (sin y) x) |
| 2.0ms | x | @ | 0 | (+ (* (+ (* (* 1/120 y) y) -1/6) (* (* y y) x)) x) |
| 1.0ms | x | @ | 0 | (+ (* (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) y) y) x) |
| 1.0ms | x | @ | 0 | (* (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) y) |
| 1.0ms | y | @ | inf | (+ (* (+ (* (* 1/120 y) y) -1/6) (* (* y y) x)) x) |
| 1× | egg-herbie |
| 7 904× | lower-fma.f64 |
| 7 904× | lower-fma.f32 |
| 2 771× | lower-*.f64 |
| 2 771× | lower-*.f32 |
| 1 083× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 3286 |
| 1 | 418 | 3280 |
| 2 | 1231 | 2990 |
| 3 | 3737 | 2972 |
| 4 | 7763 | 2972 |
| 0 | 8738 | 2755 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 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))))) |
(* 1/120 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) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))) |
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))) |
(* -1/5040 (* x (pow y 5))) |
(* (pow y 5) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* -1/5040 (* x (pow y 5))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x)))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(* -1/5040 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* -1/5040 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* 1/120 y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(* -1/5040 (pow y 3)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
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(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* -1/5040 (* x (pow y 5))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) |
(* (pow y 5) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) x) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64))))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64))))) |
(* -1/5040 (* x (pow y 5))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) x) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64))))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64))))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) x) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* -1/5040 (* x (pow y 4))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 #s(literal -1/5040 binary64) y)) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) (*.f64 x y)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* -1/5040 (* x (pow y 4))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 #s(literal -1/5040 binary64) y)) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) (*.f64 x y)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 x y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64))) y) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) |
(* y (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) |
(* -1/5040 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y)) |
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y)) |
(* -1/5040 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y)) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y)) |
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 y y) y)) |
| 4 549× | lower-fma.f32 |
| 4 544× | lower-fma.f64 |
| 3 211× | lower-*.f32 |
| 3 201× | lower-*.f64 |
| 1 860× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 169 |
| 0 | 53 | 165 |
| 1 | 173 | 165 |
| 2 | 997 | 165 |
| 0 | 8694 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) y) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sin.f64 y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (sin.f64 y))) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))) y) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (*.f64 x (/.f64 (sin.f64 y) (neg.f64 y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y)))) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) y) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 (*.f64 y 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 (*.f64 y 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (fma.f64 (*.f64 y 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 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x y)) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y) y (neg.f64 x))))))) |
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(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64)))))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64)))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) y) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y) (*.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) #s(literal -1/604800 binary64)))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(/.f64 y (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y (fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1/14400 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal -1/604800 binary64) (*.f64 y y)))) (*.f64 y (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1/1728000 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) (*.f64 y y) (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/5040 binary64) y) (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))) |
(fma.f64 #s(literal 1/120 binary64) y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))) |
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) y)) |
(fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64)) (*.f64 #s(literal 1/120 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))) |
Compiled 22 550 to 1 807 computations (92% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 6 | 888 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 886 | 15 | 901 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 52.1% | (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) | |
| 36.9% | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) | |
| ▶ | 88.7% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ▶ | 37.4% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ▶ | 99.5% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ▶ | 49.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
| 49.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 50.4% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | 49.8% | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
| ✓ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
| ▶ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
Compiled 281 to 172 computations (38.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 384 | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) | |
| cost-diff | 0 | #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y (sin.f64 y)) | |
| cost-diff | 384 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 334× | lower-*.f32 |
| 327× | lower-*.f64 |
| 268× | lower-fma.f32 |
| 266× | lower-fma.f64 |
| 208× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 218 |
| 0 | 57 | 218 |
| 1 | 91 | 214 |
| 2 | 140 | 214 |
| 3 | 223 | 210 |
| 4 | 512 | 210 |
| 5 | 878 | 210 |
| 6 | 1072 | 210 |
| 7 | 1130 | 210 |
| 8 | 1159 | 210 |
| 9 | 1160 | 210 |
| 10 | 1160 | 210 |
| 0 | 1160 | 198 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) |
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
y |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) |
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) |
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
x |
#s(literal -1/6 binary64) |
y |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 7.257099408633081 | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.1283514882622171 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| accuracy | 0.27962875976844204 | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| accuracy | 32.087697366061526 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 8.353152002816243 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) | |
| accuracy | 32.045286682802065 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| accuracy | 0.09765625 | (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) | |
| accuracy | 0.30859375 | (*.f64 x #s(literal -1/6 binary64)) | |
| accuracy | 31.58859510970886 | #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) | |
| accuracy | 32.030480744153415 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.125 | (/.f64 y (sin.f64 y)) | |
| accuracy | 0.3362190781434541 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 565.0ms | 256× | 0 | valid |
Compiled 151 to 35 computations (76.8% saved)
ival-mult: 512.0ms (93.8% of total)ival-div: 11.0ms (2% of total)const: 9.0ms (1.6% of total)ival-sin: 8.0ms (1.5% of total)ival-add: 4.0ms (0.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) (patch (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) (patch (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin y) x) (*.f64 x y)) (patch #s(approx (* (sin y) x) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) (patch (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) (taylor 0 y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (sin y)) (taylor -inf y) (#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) (patch #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/ y (sin y)) |
| 0.0ms | y | @ | inf | (/ y (sin y)) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | -inf | (/ y x) |
| 0.0ms | x | @ | -inf | (* x -1/6) |
| 1× | egg-herbie |
| 9 961× | lower-fma.f64 |
| 9 961× | lower-fma.f32 |
| 2 711× | lower-*.f64 |
| 2 711× | lower-*.f32 |
| 1 619× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 2906 |
| 1 | 373 | 2906 |
| 2 | 1111 | 2644 |
| 3 | 3294 | 2626 |
| 4 | 7221 | 2626 |
| 0 | 8184 | 2445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))) |
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))) |
(* -1/5040 (* x (pow y 5))) |
(* (pow y 5) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 5) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* -1/5040 (* x (pow y 5))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (* 1/5040 x)))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) |
(* -1 (* (pow y 5) (+ (* -1/120 (/ x (pow y 2))) (+ (* 1/5040 x) (* 1/6 (/ x (pow y 4))))))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* x (* y (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(* -1/5040 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* -1/5040 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -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 |
(+ 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 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1/5040 (* x (pow y 6))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64)) x) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(*.f64 (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* -1/5040 (* x (pow y 6))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64)) x) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(*.f64 (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))) #s(literal -1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(*.f64 (*.f64 y x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(* y (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))) |
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(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
| 4 098× | lower-fma.f32 |
| 4 096× | lower-fma.f64 |
| 3 051× | lower-*.f32 |
| 3 044× | lower-*.f64 |
| 1 911× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 192 |
| 0 | 57 | 192 |
| 1 | 182 | 188 |
| 2 | 990 | 185 |
| 0 | 8365 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
(fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x) |
(*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 y x) |
(*.f64 x #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 x (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 x (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 x #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x)) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
Compiled 13 274 to 1 198 computations (91% saved)
26 alts after pruning (15 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 11 | 857 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 846 | 26 | 872 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 52.1% | (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) | |
| ▶ | 36.9% | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
| ✓ | 88.7% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 37.4% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ✓ | 99.5% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 63.4% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 63.4% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| 63.5% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 86.6% | (*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) | |
| ▶ | 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 36.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)) | |
| 37.3% | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ▶ | 49.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) |
| ✓ | 49.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
| 48.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) y)))) | |
| 3.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y)))) | |
| ▶ | 49.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| ✓ | 50.4% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | 49.8% | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
| ✓ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
| ✓ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
| 22.8% | #s(approx (* x (/ (sin y) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)))) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))))) | |
| ▶ | 23.6% | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
Compiled 716 to 386 computations (46.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) | |
| cost-diff | 3648 | (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) | |
| cost-diff | 0 | #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 9 574× | lower-fma.f32 |
| 9 569× | lower-fma.f64 |
| 1 888× | lower-*.f32 |
| 1 877× | lower-*.f64 |
| 715× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 525 |
| 0 | 73 | 577 |
| 1 | 135 | 571 |
| 2 | 295 | 554 |
| 3 | 765 | 551 |
| 4 | 2666 | 395 |
| 5 | 5220 | 392 |
| 0 | 8336 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) |
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 y y) |
y |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(literal -1 binary64) |
(fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(neg.f64 (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) (/.f64 x y)) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) x) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
x |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) (/.f64 x y)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) |
(/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) |
(fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) |
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(*.f64 y y) |
y |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x)) |
(fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (neg.f64 y) y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(literal -1 binary64) |
(fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 (neg.f64 y) y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3088347501273904 | (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) | |
| accuracy | 31.58859510970886 | #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 32.030480744153415 | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) | |
| accuracy | 45.84864478879963 | (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) | |
| accuracy | 0.1283514882622171 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) | |
| accuracy | 0.27962875976844204 | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) | |
| accuracy | 0.28866661614739986 | (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) | |
| accuracy | 32.087697366061526 | #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.16015625 | (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) | |
| accuracy | 8.353152002816243 | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) | |
| accuracy | 32.087697366061526 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.109375 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.1283514882622171 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 32.15034061759117 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 7.393905790420829 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 275.0ms | 256× | 0 | valid |
Compiled 353 to 43 computations (87.8% saved)
ival-mult: 173.0ms (67.9% of total)ival-add: 55.0ms (21.6% of total)ival-div: 9.0ms (3.5% of total)const: 9.0ms (3.5% of total)ival-sin: 6.0ms (2.4% of total)ival-neg: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) (patch (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) (patch (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) (patch (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) (patch (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) (patch #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) (patch #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (patch (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (patch (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) (patch (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (patch #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (patch #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow y 2) (+ (* -13/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow y 2) (+ (* (pow y 2) (- (* 23/3024 (/ (pow y 2) x)) (* 13/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -5040 (* x (pow y 6))) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6))) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -5040 (* x (pow y 6))) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6))) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x))) |
| 2.0ms | x | @ | -inf | (* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x))) |
| 1.0ms | y | @ | inf | (* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x))) |
| 1.0ms | y | @ | 0 | (* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x))) |
| 1.0ms | x | @ | inf | (* (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x))) |
| 1× | egg-herbie |
| 7 771× | lower-fma.f64 |
| 7 771× | lower-fma.f32 |
| 3 201× | lower-+.f64 |
| 3 201× | lower-+.f32 |
| 2 225× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 5120 |
| 1 | 769 | 4964 |
| 2 | 2560 | 4720 |
| 0 | 8128 | 4351 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin 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 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(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) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (* -1/5040 x))) |
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x)))) |
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* -1/360 (pow x 2)) (+ (* -1/5040 (pow x 2)) (* 1/5040 (pow x 2)))) x)) (+ x (+ (* -42 (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x)))) (* 840 (- (* -1/60 x) (* -1/120 x)))))) (pow y 6))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (* -1/5040 x))) |
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x)))) |
(* (pow y 6) (+ (* -1 (/ (- (* -1/60 x) (* -1/120 x)) (pow y 2))) (+ (* -1 (/ (- (* 5040 (/ (+ (* -1/360 (pow x 2)) (+ (* -1/5040 (pow x 2)) (* 1/5040 (pow x 2)))) x)) (+ x (+ (* -42 (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x)))) (* 840 (- (* -1/60 x) (* -1/120 x)))))) (pow y 6))) (+ (* -1 (/ (- (* 5040 (/ (+ (* 1/15120 (pow x 2)) (* 1/14400 (pow x 2))) x)) (+ (* -42 (- (* -1/60 x) (* -1/120 x))) (* 1/6 x))) (pow y 4))) (* -1/5040 x))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(* -1 (/ (* x (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)) |
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)) |
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)) |
(/ (* x (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/6 (pow x 2))))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/6 (pow x 2)) (+ (* 1/6 (pow x 2)) (* (pow y 2) (+ (* -1/120 (pow x 2)) (+ (* 1/120 (pow x 2)) (* 1/36 (pow x 2))))))))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/6 (pow x 2)) (+ (* 1/6 (pow x 2)) (* (pow y 2) (+ (* -1/120 (pow x 2)) (+ (* 1/120 (pow x 2)) (+ (* 1/36 (pow x 2)) (* (pow y 2) (+ (* -1/360 (pow x 2)) (+ (* -1/5040 (pow x 2)) (* 1/5040 (pow x 2))))))))))))) |
(* 1/25401600 (* (pow x 2) (pow y 12))) |
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (* 1/25401600 (pow x 2)))) |
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (* 1/14400 (/ (pow x 2) (pow y 4))))))) |
(* (pow y 12) (+ (* -1/360 (/ (pow x 2) (pow y 6))) (+ (* -1/5040 (/ (pow x 2) (pow y 6))) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (+ (* 1/14400 (/ (pow x 2) (pow y 4))) (* 1/5040 (/ (pow x 2) (pow y 6)))))))))) |
(* 1/25401600 (* (pow x 2) (pow y 12))) |
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (* 1/25401600 (pow x 2)))) |
(* (pow y 12) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (* 1/14400 (/ (pow x 2) (pow y 4))))))) |
(* (pow y 12) (+ (* -1/360 (/ (pow x 2) (pow y 6))) (+ (* -1/5040 (/ (pow x 2) (pow y 6))) (+ (* -1/302400 (/ (pow x 2) (pow y 2))) (+ (* 1/25401600 (pow x 2)) (+ (* 1/15120 (/ (pow x 2) (pow y 4))) (+ (* 1/14400 (/ (pow x 2) (pow y 4))) (* 1/5040 (/ (pow x 2) (pow y 6)))))))))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* (pow x 2) (* (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* -1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6)))))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(* -1/5040 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* -1/5040 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(/ -1 x) |
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(- (* (pow y 2) (+ (* -13/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 23/3024 (/ (pow y 2) x)) (* 13/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(/ -5040 (* x (pow y 6))) |
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6))) |
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6)) |
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6)) |
(/ -5040 (* x (pow y 6))) |
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6))) |
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6)) |
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) y) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ (* x (sin y)) y) |
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(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* -1/5040 (* x (pow y 4))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* -1/5040 (* x (pow y 4))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y) |
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(- (* (pow y 2) (+ (* -13/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 #s(literal -13/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 23/3024 (/ (pow y 2) x)) (* 13/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 23/3024 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal -13/360 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) |
(/ -5040 (* x (pow y 6))) |
(/.f64 #s(literal -5040 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) |
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6))) |
(/.f64 (-.f64 (/.f64 #s(literal -211680 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5040 binary64) x)) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6)) |
(/.f64 (-.f64 (/.f64 #s(literal -5040 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 211680 binary64) x)) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6)) |
(/.f64 (-.f64 (/.f64 #s(literal 7620480 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 211680 binary64) (*.f64 y y)) #s(literal 5040 binary64)) (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (pow.f64 y #s(literal 6 binary64))) |
(/ -5040 (* x (pow y 6))) |
(/.f64 #s(literal -5040 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) |
(* -1 (/ (+ (* 5040 (/ 1 x)) (* 211680 (/ 1 (* x (pow y 2))))) (pow y 6))) |
(/.f64 (-.f64 (/.f64 #s(literal -211680 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 5040 binary64) x)) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (* -1 (/ (+ (* 211680 (/ 1 x)) (* 4656960 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 5040 (/ 1 x))) (pow y 6)) |
(/.f64 (-.f64 (/.f64 #s(literal -5040 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 211680 binary64) x)) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (* 7620480 (/ 1 (* x (pow y 6)))) (+ (* 5040 (/ 1 x)) (+ (* 4656960 (/ 1 (* x (pow y 4)))) (/ 211680 (* x (pow y 2)))))) (pow y 6)) |
(/.f64 (-.f64 (/.f64 #s(literal 7620480 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 211680 binary64) (*.f64 y y)) #s(literal 5040 binary64)) (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (pow.f64 y #s(literal 6 binary64))) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ -1 (* x (+ 1 (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)) |
(/ 1 (* x (- (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)) 1))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x)) |
| 769× | times-frac |
| 595× | lower-fma.f32 |
| 590× | lower-fma.f64 |
| 541× | lower-*.f32 |
| 530× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 428 |
| 0 | 73 | 529 |
| 1 | 246 | 529 |
| 2 | 1696 | 529 |
| 0 | 73 | 478 |
| 1 | 246 | 279 |
| 0 | 1696 | 267 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) |
(fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y) |
#s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(sin.f64 y) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 y y) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 x) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y) x) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) |
(*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) (/.f64 x y))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y)) |
(pow.f64 (/.f64 y (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)))) |
(/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) y)) |
(neg.f64 (/.f64 (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) (neg.f64 y))) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x) |
(*.f64 x #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))) |
#s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64))) (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 y (-.f64 y (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) y)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) y y) |
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) (*.f64 #s(literal 1 binary64) y)) |
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(pow.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)))) |
Compiled 27 958 to 1 405 computations (95% saved)
35 alts after pruning (22 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 989 | 15 | 1 004 |
| Fresh | 3 | 7 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 11 | 11 |
| Total | 995 | 35 | 1 030 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 52.1% | (/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) | |
| 22.1% | (/.f64 (*.f64 #s(approx (sin y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) x) y) | |
| 3.0% | (/.f64 (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)) x) y) | |
| ✓ | 88.7% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 37.4% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ✓ | 99.5% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 63.4% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 63.4% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) | |
| 63.5% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 86.6% | (*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 88.4% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 36.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) | |
| 37.3% | (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 49.8% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)))) | |
| ✓ | 49.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
| 3.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y)))) | |
| 3.0% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (+ (* (* (* y y) y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) | |
| ✓ | 49.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| 49.1% | (*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))) | |
| 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| ✓ | 50.4% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | 49.8% | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
| ✓ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
| ✓ | 49.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
| 22.8% | #s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) | |
| 23.7% | #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)))) | |
| 26.6% | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) x)))) | |
| 13.0% | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) x)))) | |
| 26.2% | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y)) x)))) | |
| 26.6% | #s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #s(approx (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))))) | |
| 25.5% | #s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) y) y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) | |
| 37.2% | #s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
Compiled 1 577 to 562 computations (64.4% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)) x) y) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y)) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (+ (* (* (* y y) y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) y) y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(/.f64 (*.f64 #s(approx (sin y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) x) y) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #s(approx (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y)) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)))) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) y)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) x)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 15.0ms | x |
| 14.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 14.0ms | (/.f64 (sin.f64 y) y) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)) x) y) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) y)) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (+ (* (* (* y y) y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 #s(approx (* (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x) (+ (* (* y y) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) (neg x))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) y) y) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) y x)) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) (neg.f64 x)) (fma.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(/.f64 (*.f64 #s(approx (sin y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) #s(literal 1/36 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y))) x) y) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) #s(approx (/ -1 (+ (* (neg (* y y)) (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x))))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y)) x)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) x)))) |
#s(approx (* x (/ (sin y) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)))) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) y)))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (*.f64 y y)) #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) x)))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
4 calls:
| 16.0ms | x |
| 16.0ms | (/.f64 (sin.f64 y) y) |
| 10.0ms | y |
| 10.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 1 | x |
| 63.5% | 1 | y |
| 63.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 63.5% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
Total -30.7b remaining (-96.9%)
Threshold costs -30.7b (-96.9%)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6) x) (*.f64 x #s(literal -1/6 binary64))) y) y x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (* (sin y) x) (*.f64 y x))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 1 | (/.f64 (sin.f64 y) y) |
| 50.4% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 50.4% | 1 | y |
| 50.4% | 1 | x |
Compiled 20 to 13 computations (35% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 27 |
| 1 | 22 | 27 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
| 9 961× | lower-fma.f64 |
| 9 961× | lower-fma.f32 |
| 8 060× | lower-fma.f64 |
| 8 060× | lower-fma.f32 |
| 2 711× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 910 | 294 |
| 4 | 1439 | 294 |
| 5 | 2227 | 294 |
| 6 | 3349 | 294 |
| 7 | 3639 | 294 |
| 8 | 4369 | 294 |
| 9 | 6831 | 294 |
| 0 | 8504 | 276 |
| 0 | 121 | 2906 |
| 1 | 373 | 2906 |
| 2 | 1111 | 2644 |
| 3 | 3294 | 2626 |
| 4 | 7221 | 2626 |
| 0 | 8184 | 2445 |
| 0 | 5 | 12 |
| 0 | 8 | 18 |
| 1 | 19 | 18 |
| 2 | 72 | 18 |
| 3 | 336 | 18 |
| 4 | 1798 | 18 |
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1798 | 12 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 50 to 29 computations (42% saved)
(negabs x)
(abs y)
Compiled 154 to 92 computations (40.3% saved)
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