
Time bar (total: 7.9s)
| 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)
| 796.0ms | 8 256× | 0 | valid |
ival-sin: 393.0ms (69.2% of total)ival-mult: 100.0ms (17.6% of total)ival-div: 66.0ms (11.6% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 48.0ms | 512× | 0 | valid |
Compiled 40 to 19 computations (52.5% saved)
ival-sin: 25.0ms (76.3% of total)ival-div: 4.0ms (12.2% of total)ival-mult: 3.0ms (9.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 600× | times-frac |
| 296× | associate-*r* |
| 278× | associate-*l* |
| 182× | unsub-neg |
| 180× | 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 (sin.f64 y) (/.f64 x 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)) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | 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 (sin.f64 y) (/.f64 x 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 | 0.07421875 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 y) y) |
| 41.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-div: 12.0ms (58.8% of total)ival-sin: 6.0ms (29.4% of total)ival-mult: 2.0ms (9.8% 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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | 0 | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 1× | egg-herbie |
| 16 120× | lower-fma.f64 |
| 16 120× | lower-fma.f32 |
| 4 374× | lower-*.f64 |
| 4 374× | lower-*.f32 |
| 2 386× | 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 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)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(/ (* 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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/ (sin 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 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) |
(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) |
| 836× | lower-*.f32 |
| 834× | lower-*.f64 |
| 718× | lower-/.f32 |
| 716× | lower-/.f64 |
| 220× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 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) y) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.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 (-.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 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 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 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.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 (/.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 (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 (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)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (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 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) x)) |
(*.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (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 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 x (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 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.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) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(/.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 (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 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 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 (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 (-.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 (-.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 #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 #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 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 y (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) 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 (/.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 (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 (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)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(*.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 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 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 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.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 (*.f64 (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) (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 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (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) (neg.f64 (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)))) |
(sin.f64 y) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(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)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.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 (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 (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 (-.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 (*.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 (*.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 (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 (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 (+.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 (-.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))))) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 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))) |
Compiled 2 248 to 440 computations (80.4% 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 |
|---|---|---|
| 53.5% | (/.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)) | |
| 89.2% | (/.f64 (*.f64 x (sin.f64 y)) y) | |
| ▶ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 52.8% | (*.f64 x (/.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)))) | |
| ▶ | 49.0% | (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) |
| 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) | |
| 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 49.1% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ▶ | 50.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 49.1% | #s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
Compiled 312 to 201 computations (35.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) | |
| cost-diff | 0 | #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) | |
| cost-diff | 0 | (*.f64 y #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 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 y (sin.f64 y)) | |
| cost-diff | 384 | (/.f64 x (/.f64 y (sin.f64 y))) |
| 110× | lower-*.f32 |
| 96× | lower-*.f64 |
| 48× | lower-/.f32 |
| 40× | lower-/.f64 |
| 32× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 138 |
| 0 | 40 | 138 |
| 1 | 60 | 138 |
| 2 | 72 | 134 |
| 3 | 77 | 134 |
| 4 | 84 | 134 |
| 5 | 84 | 134 |
| 6 | 132 | 134 |
| 7 | 137 | 134 |
| 8 | 144 | 134 |
| 9 | 150 | 134 |
| 10 | 150 | 134 |
| 0 | 150 | 130 |
| 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) |
(*.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) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) |
x |
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/.f64 y (sin.f64 y)) |
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) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) (/.f64 x y)) |
x |
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
(/.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) y) |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
#s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 7.159265669032675 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| accuracy | 0.07421875 | (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) | |
| accuracy | 0.1015625 | (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) | |
| accuracy | 0.16796875 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| accuracy | 32.62487391080725 | #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) | |
| accuracy | 0.05859375 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.07421875 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.3046875 | (*.f64 y #s(literal -1/6 binary64)) | |
| accuracy | 32.66616750183971 | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.07421875 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 32.26028362416041 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.1171875 | (/.f64 x (/.f64 y (sin.f64 y))) | |
| accuracy | 0.13671875 | (/.f64 y (sin.f64 y)) |
| 46.0ms | 256× | 0 | valid |
Compiled 97 to 20 computations (79.4% saved)
ival-mult: 12.0ms (38.4% of total)ival-div: 7.0ms (22.4% of total)ival-sin: 6.0ms (19.2% of total)const: 4.0ms (12.8% of total)ival-add: 2.0ms (6.4% 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 (*.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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -1/6 binary64)) (patch (*.f64 y #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) (patch (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ()) |
#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 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<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>) () ())) ()) |
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#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>) () ())) ()) |
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#s(alt (sin y) (taylor inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 3)) (taylor inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) (taylor inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 3)) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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 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>) () ())) ()) |
#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 (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x 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 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x 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 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#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 y) (#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 y) (#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 y) (#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 y) (#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 y) (#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 y) (#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 y) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (* y -1/6) |
| 0.0ms | y | @ | -inf | (/ y (sin y)) |
| 0.0ms | y | @ | inf | (/ y (sin y)) |
| 0.0ms | y | @ | inf | (+ (* y (* y -1/6)) 1) |
| 0.0ms | y | @ | inf | (+ (* y (* -1/6 (* y y))) y) |
| 1× | egg-herbie |
| 9 056× | lower-fma.f64 |
| 9 056× | lower-fma.f32 |
| 3 688× | lower-*.f64 |
| 3 688× | lower-*.f32 |
| 3 060× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 1606 |
| 1 | 187 | 1576 |
| 2 | 514 | 1556 |
| 3 | 1554 | 1546 |
| 4 | 3933 | 1546 |
| 5 | 7316 | 1546 |
| 0 | 8480 | 1462 |
| 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) |
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 |
(+ 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)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(/ (* 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) |
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))))) |
(/ (* 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) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #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 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(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 (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin 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 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin 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 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin 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 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(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)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) 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) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| 6 646× | lower-fma.f32 |
| 6 642× | lower-fma.f64 |
| 5 048× | lower-*.f32 |
| 5 034× | lower-*.f64 |
| 2 570× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 120 |
| 0 | 40 | 120 |
| 1 | 111 | 116 |
| 2 | 540 | 116 |
| 3 | 4106 | 116 |
| 0 | 8352 | 112 |
| 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) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) |
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y) |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))) |
(neg.f64 (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x)) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y))))) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sin.f64 y)))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x (neg.f64 y)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y))) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 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 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y))) |
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(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sin.f64 y)))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x (neg.f64 y)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y))) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 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 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (/.f64 x #s(literal -1 binary64)))) (*.f64 y (neg.f64 y))) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y (exp.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) (exp.f64 (log.f64 #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (log.f64 (*.f64 y #s(literal -1/6 binary64)))) y) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/6 binary64))) (*.f64 y y)) |
Compiled 15 235 to 1 650 computations (89.2% saved)
28 alts after pruning (23 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 840 | 21 | 861 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 846 | 28 | 874 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (/.f64 (*.f64 x (sin.f64 y)) y) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 99.6% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) | |
| 61.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 61.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 62.0% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 37.7% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) | |
| ▶ | 38.2% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
| 38.4% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 88.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) | |
| 49.1% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) | |
| 49.0% | (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 48.3% | (*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) y)) | |
| 25.7% | (*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (neg.f64 y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) y)) | |
| 2.9% | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) y)) | |
| ▶ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 48.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| ▶ | 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 49.1% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 48.2% | (*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)))))) | |
| 49.1% | (*.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) | |
| ▶ | 48.3% | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
| 48.6% | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) | |
| ▶ | 2.9% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
| ✓ | 50.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 915 to 502 computations (45.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) | |
| cost-diff | 128 | (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) | |
| cost-diff | 0 | #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| 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)) |
| 1 200× | lower-fma.f32 |
| 1 188× | lower-fma.f64 |
| 1 114× | lower-*.f32 |
| 1 090× | lower-*.f64 |
| 594× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 390 |
| 0 | 71 | 370 |
| 1 | 143 | 345 |
| 2 | 309 | 345 |
| 3 | 629 | 345 |
| 4 | 1095 | 345 |
| 5 | 1204 | 345 |
| 6 | 1242 | 345 |
| 7 | 1244 | 345 |
| 8 | 1247 | 345 |
| 9 | 1253 | 345 |
| 10 | 1407 | 345 |
| 11 | 1416 | 345 |
| 12 | 1518 | 345 |
| 13 | 1582 | 345 |
| 14 | 1614 | 345 |
| 15 | 1638 | 345 |
| 16 | 1638 | 345 |
| 17 | 1638 | 345 |
| 0 | 1638 | 329 |
| 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(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(/.f64 x y) |
x |
y |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
x |
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) |
#s(literal -1/216 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x 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(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(/.f64 x y) |
x |
y |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 y (*.f64 #s(literal -1/216 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) |
x |
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (sin y) y) (/.f64 (fma.f64 y (*.f64 #s(literal -1/216 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y (*.f64 #s(literal -1/216 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/216 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) |
(*.f64 (*.f64 y y) (*.f64 y #s(literal -1/216 binary64))) |
#s(literal -1/216 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
#s(literal 1/36 binary64) |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) | |
| accuracy | 0.224941259768442 | (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) | |
| accuracy | 26.349281356781216 | (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 32.66616750183971 | #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0.07421875 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.28392902604405346 | (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 32.75819893205561 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.03125 | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) | |
| accuracy | 0.16796875 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| accuracy | 7.159265669032675 | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) | |
| accuracy | 32.62487391080725 | #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) | |
| accuracy | 0.07421875 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| accuracy | 0.16796875 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| accuracy | 30.202118845195194 | #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) | |
| accuracy | 32.66616750183971 | #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.07421875 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) | |
| accuracy | 0.265625 | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 108.0ms | 256× | 0 | valid |
Compiled 258 to 41 computations (84.1% saved)
ival-mult: 37.0ms (42.7% of total)const: 25.0ms (28.9% of total)ival-add: 8.0ms (9.2% of total)ival-sin: 8.0ms (9.2% of total)ival-div: 7.0ms (8.1% of total)ival-sub: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.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(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (patch #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (patch #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) (patch (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (patch #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) (patch (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) (patch (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) (patch (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (patch #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<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>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (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 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (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 (/ (sin y) y) (taylor inf 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 (/ (sin y) y) (taylor inf 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 (/ (sin y) y) (taylor inf 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 (/ (sin y) y) (taylor inf 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 (/ (sin y) y) (taylor -inf 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 (/ (sin y) y) (taylor -inf 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 (/ (sin y) y) (taylor -inf 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 (/ (sin y) y) (taylor -inf 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 (/ (* x (sin y)) y) (taylor 0 x) (#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 (/ (* x (sin y)) y) (taylor 0 x) (#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 (/ (* x (sin y)) y) (taylor 0 x) (#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 (/ (* x (sin y)) y) (taylor 0 x) (#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 (/ (* x (sin y)) y) (taylor inf x) (#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 (/ (* x (sin y)) y) (taylor inf x) (#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 (/ (* x (sin y)) y) (taylor inf x) (#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 (/ (* x (sin y)) y) (taylor inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 (/ (* x (sin y)) y) (taylor -inf x) (#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 x (taylor 0 y) (#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 (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#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 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#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 (+ 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 (/.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 (/ (* x (sin y)) y) (taylor inf y) (#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 (/ (* x (sin y)) y) (taylor inf y) (#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 (/ (* x (sin y)) y) (taylor inf y) (#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 (/ (* x (sin y)) y) (taylor inf y) (#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 (/ (* x (sin y)) y) (taylor -inf y) (#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 (/ (* x (sin y)) y) (taylor -inf y) (#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 (/ (* x (sin y)) y) (taylor -inf y) (#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 (/ (* x (sin y)) y) (taylor -inf y) (#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 (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) 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 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/36 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (patch (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow y 3)) (taylor -inf y) (#s(alt (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (* (/ x y) (sin y)) |
| 1.0ms | y | @ | inf | (* (+ (* (* y (* y y)) (* (* y (* y y)) -1/216)) 1) (/ 1 (+ (* (* y y) (- (* (* y y) 1/36) -1/6)) 1))) |
| 1.0ms | y | @ | 0 | (* (+ (* (* y (* y y)) (* (* y (* y y)) -1/216)) 1) (/ 1 (+ (* (* y y) (- (* (* y y) 1/36) -1/6)) 1))) |
| 0.0ms | y | @ | inf | (+ (* (* y y) (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6)) 1) |
| 0.0ms | y | @ | inf | (* (* y (* y y)) -1/216) |
| 1× | egg-herbie |
| 13 554× | lower-fma.f64 |
| 13 554× | lower-fma.f32 |
| 3 810× | lower-*.f64 |
| 3 810× | lower-*.f32 |
| 2 250× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 2270 |
| 1 | 209 | 2240 |
| 2 | 556 | 2220 |
| 3 | 1689 | 2202 |
| 4 | 4841 | 2202 |
| 0 | 8309 | 2066 |
| 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) |
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)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(/ (* 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) |
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))))) |
(/ (* 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 (* (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))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1 |
(+ 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)) |
1/6 |
(+ 1/6 (* 1/36 (pow y 2))) |
(+ 1/6 (* 1/36 (pow y 2))) |
(+ 1/6 (* 1/36 (pow y 2))) |
(* 1/36 (pow y 2)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/36 (pow y 2)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* 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) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* 1/36 (pow y 2)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
(* -1/216 (pow y 3)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin 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 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
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(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) |
(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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin 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) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/5040 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(* -1/5040 (pow y 4)) |
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* -1/5040 (pow y 4)) |
(*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y (*.f64 y y)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
(* -1/216 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/216 binary64)))) |
| 8 820× | lower-fma.f32 |
| 8 808× | lower-fma.f64 |
| 4 190× | lower-*.f32 |
| 4 166× | lower-*.f64 |
| 3 918× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 310 |
| 0 | 71 | 286 |
| 1 | 261 | 274 |
| 2 | 1740 | 274 |
| 0 | 8301 | 261 |
| 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(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(/.f64 x y) |
#s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) y) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.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) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (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)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) |
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(*.f64 (*.f64 y y) (*.f64 y #s(literal -1/216 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) |
(*.f64 #s(literal -1/216 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -1/216 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/216 binary64)) y) |
(*.f64 (*.f64 #s(literal -1/216 binary64) y) (*.f64 y y)) |
(*.f64 (pow.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 3/2 binary64))) |
Compiled 32 122 to 2 252 computations (93% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 064 | 11 | 1 075 |
| Fresh | 5 | 13 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 072 | 31 | 1 103 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 99.6% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
| ▶ | 61.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 61.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 62.0% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 48.9% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 37.7% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) | |
| 38.2% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y y))) | |
| 38.2% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) y))) | |
| 2.9% | (*.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) | |
| 38.4% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 88.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) | |
| ▶ | 2.9% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
| 49.0% | (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 48.3% | (*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) y)) | |
| 2.9% | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) y)) | |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 48.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) | |
| ✓ | 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 48.2% | (*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)))))) | |
| 49.1% | (*.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) | |
| ▶ | 48.2% | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
| 48.6% | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) | |
| ▶ | 2.9% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
| ✓ | 2.9% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
| ✓ | 50.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 49.1% | #s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
Compiled 950 to 519 computations (45.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) | |
| cost-diff | 1088 | (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 y)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) | |
| cost-diff | 384 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
| 5 990× | lower-*.f32 |
| 5 962× | lower-*.f64 |
| 3 382× | cube-prod |
| 2 332× | lower-pow.f64 |
| 2 332× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 466 |
| 0 | 83 | 438 |
| 1 | 150 | 416 |
| 2 | 286 | 416 |
| 3 | 693 | 416 |
| 4 | 1441 | 416 |
| 5 | 1863 | 416 |
| 6 | 2103 | 416 |
| 7 | 2175 | 416 |
| 8 | 2257 | 416 |
| 9 | 2280 | 416 |
| 10 | 2280 | 416 |
| 11 | 2512 | 416 |
| 12 | 2883 | 416 |
| 13 | 3270 | 416 |
| 14 | 3306 | 416 |
| 15 | 3383 | 416 |
| 16 | 3512 | 416 |
| 17 | 3739 | 416 |
| 18 | 4047 | 416 |
| 19 | 4439 | 416 |
| 20 | 4917 | 416 |
| 21 | 5499 | 416 |
| 22 | 5806 | 416 |
| 23 | 6061 | 416 |
| 24 | 6172 | 416 |
| 25 | 6282 | 416 |
| 26 | 6392 | 416 |
| 27 | 7031 | 416 |
| 0 | 8074 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
(sin.f64 y) |
y |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal -1/6 binary64)) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(*.f64 y #s(literal 31/15120 binary64)) |
#s(literal 31/15120 binary64) |
#s(literal 7/360 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
x |
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) |
#s(literal -1/216 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)) |
#s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(*.f64 y #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) |
(/.f64 y (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
(sin.f64 y) |
y |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y #s(literal -1/6 binary64)) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) |
(fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) |
(*.f64 y #s(literal 31/15120 binary64)) |
#s(literal 31/15120 binary64) |
#s(literal 7/360 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64))))) |
x |
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) |
#s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) |
#s(literal -1/216 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)) |
#s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) |
#s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/36 binary64)) |
(*.f64 y #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3671875 | (*.f64 y #s(literal 1/36 binary64)) | |
| accuracy | 26.349281356781216 | (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) | |
| accuracy | 29.720281640952482 | #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) | |
| accuracy | 32.66616750183971 | #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) | |
| accuracy | 0.1171875 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.12109375 | (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) | |
| accuracy | 0.61328125 | (*.f64 y #s(literal 31/15120 binary64)) | |
| accuracy | 32.452130845978736 | #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.19207001953688402 | (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.3046875 | (*.f64 y #s(literal -1/6 binary64)) | |
| accuracy | 30.202118845195194 | #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 32.66616750183971 | #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 0.09765625 | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) | |
| accuracy | 0.3046875 | (*.f64 y #s(literal -1/6 binary64)) | |
| accuracy | 30.202118845195194 | #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) | |
| accuracy | 32.66616750183971 | #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (sin.f64 y)) | |
| accuracy | 0.1171875 | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) | |
| accuracy | 0.26953125 | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) |
| 200.0ms | 256× | 0 | valid |
Compiled 276 to 46 computations (83.3% saved)
const: 46.0ms (33% of total)ival-mult: 43.0ms (30.8% of total)ival-div: 35.0ms (25.1% of total)ival-add: 7.0ms (5% of total)ival-sin: 7.0ms (5% of total)ival-sub: 1.0ms (0.7% 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 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) (patch (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (patch #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (patch #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (patch (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) (patch #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #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 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) (patch (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) (patch #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -1/6 binary64)) (patch (*.f64 y #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 31/15120 binary64)) (patch (*.f64 y #s(literal 31/15120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) (patch #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/36 binary64)) (patch (*.f64 y #s(literal 1/36 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (patch (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/36 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/36 binary64)) (patch (*.f64 y #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/36 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/36 binary64)) (patch (*.f64 y #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/36 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/36 binary64)) (patch (*.f64 y #s(literal 1/36 binary64)) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | y | @ | -inf | (* y 31/15120) |
| 0.0ms | y | @ | -inf | (/ 1 (sin y)) |
| 0.0ms | y | @ | inf | (+ (* (* y (* y y)) (* (* y (* y y)) -1/216)) 1) |
| 0.0ms | y | @ | 0 | (* y (+ (* y (* y 31/15120)) 7/360)) |
| 0.0ms | y | @ | -inf | (* y 1/36) |
| 1× | egg-herbie |
| 11 666× | lower-fma.f64 |
| 11 666× | lower-fma.f32 |
| 4 756× | lower-*.f64 |
| 4 756× | lower-*.f32 |
| 2 280× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 2242 |
| 1 | 276 | 2236 |
| 2 | 667 | 2208 |
| 3 | 1760 | 2198 |
| 4 | 5027 | 2198 |
| 5 | 5927 | 2198 |
| 6 | 7438 | 2198 |
| 0 | 8139 | 2054 |
| 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)) |
(/ 1 y) |
(/ (+ 1 (* 1/6 (pow y 2))) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (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 |
(+ 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) |
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)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(/ (* 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)) |
(/ (* 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)) |
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))))))) |
(* 31/15120 (pow y 6)) |
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 31/15120 (pow y 6)) |
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 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) |
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)) |
(/ (* 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 (* -1/216 (pow y 6))) |
(+ 1 (* -1/216 (pow y 6))) |
(+ 1 (* -1/216 (pow y 6))) |
(* -1/216 (pow y 6)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(* -1/216 (pow y 6)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 31/15120 y) |
(* 7/360 y) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(* 31/15120 (pow y 3)) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* 31/15120 (pow y 3)) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
1/6 |
(+ 1/6 (* 1/36 (pow y 2))) |
(+ 1/6 (* 1/36 (pow y 2))) |
(+ 1/6 (* 1/36 (pow y 2))) |
(* 1/36 (pow y 2)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/36 (pow y 2)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
(* 1/36 y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (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) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #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)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* 1/6 (pow y 2))) y) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) |
(/.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) y) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(/ 1 (sin y)) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(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)))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
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(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (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 (* -1/216 (pow y 6))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/216 (pow y 6))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/216 (pow y 6))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* -1/216 (pow y 6)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* -1/216 (pow y 6)) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* (pow y 6) (- (/ 1 (pow y 6)) 1/216)) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/216 binary64) #s(literal 1 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 31/15120 y) |
(*.f64 y #s(literal 31/15120 binary64)) |
(* 7/360 y) |
(*.f64 y #s(literal 7/360 binary64)) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* y (+ 7/360 (* 31/15120 (pow y 2)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* 31/15120 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* 31/15120 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64)))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
(* (pow y 3) (+ 31/15120 (* 7/360 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/36 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* 1/36 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/36 binary64))) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/36 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
(* 1/36 y) |
(*.f64 y #s(literal 1/36 binary64)) |
| 9 272× | lower-fma.f32 |
| 9 262× | lower-fma.f64 |
| 4 492× | lower-*.f32 |
| 4 464× | lower-*.f64 |
| 3 742× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 364 |
| 0 | 83 | 330 |
| 1 | 281 | 318 |
| 2 | 1734 | 318 |
| 0 | 8693 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(sin.f64 y) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 y #s(literal 31/15120 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) |
#s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) |
(*.f64 y #s(literal 1/36 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (sin.f64 y)))) y) |
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sin.f64 y) (pow.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 x (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) 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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y)))) |
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y #s(literal -1 binary64)))) |
(/.f64 y (sin.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (sin.f64 y)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) y) |
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(*.f64 (*.f64 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))) (*.f64 #s(literal -7/360 binary64) y)))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal 31/777600 binary64))))) |
(*.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal -7/360 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 29791/3456649728000 binary64)) #s(literal 343/46656000 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal 49/129600 binary64)) (*.f64 (*.f64 y y) #s(literal 31/777600 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 961/228614400 binary64)) #s(literal -49/129600 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal -7/360 binary64)))) |
#s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) |
(*.f64 #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 y #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/36 binary64) y) |
Compiled 28 684 to 2 050 computations (92.9% saved)
34 alts after pruning (23 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 012 | 7 | 1 019 |
| Fresh | 3 | 16 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 016 | 34 | 1 050 |
| Status | Accuracy | Program |
|---|---|---|
| 89.2% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | 99.6% | (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
| 61.9% | (/.f64 x (*.f64 #s(approx (/ 1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)) | |
| 61.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 62.0% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| 62.0% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 16.1% | (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* (* y y) (+ (* y (* y (+ (* y (* y 31/15120)) 7/360))) 1/6)) 1) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))))))))) | |
| 48.9% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 88.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 37.7% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) | |
| 38.2% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y y))) | |
| 38.2% | (*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) y))) | |
| 2.9% | (*.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) | |
| 38.4% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) | |
| 88.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) | |
| 48.9% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) | |
| 2.9% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64)))))) x) | |
| 2.9% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) x) | |
| ✓ | 2.9% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
| 49.0% | (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 48.3% | (*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) y)) | |
| 2.9% | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) y)) | |
| ✓ | 99.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 48.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) | |
| ✓ | 48.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 48.2% | (*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)))))) | |
| ✓ | 48.2% | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
| 48.6% | (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) | |
| ✓ | 2.9% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
| ✓ | 2.9% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
| ✓ | 50.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 49.1% | #s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
Compiled 1 305 to 486 computations (62.8% 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 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64)))))) x) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y y))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (*.f64 #s(approx (/ 1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* (* y y) (+ (* y (* y (+ (* y (* y 31/15120)) 7/360))) 1/6)) 1) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))))))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (neg.f64 y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) y)) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)) |
(*.f64 x (/.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 (*.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:
| 23.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 19.0ms | x |
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 14.0ms | 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 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) -1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) #s(approx (+ (* y (* -1/6 (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) y)) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/6 binary64)))))) x) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y y))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 x (*.f64 #s(approx (/ 1 (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* (* y y) (+ (* y (* y (+ (* y (* y 31/15120)) 7/360))) 1/6)) 1) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 31/15120 binary64))))))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (/.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) y))) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(approx (- (* (* y y) 1/36) -1/6) (*.f64 y (*.f64 y #s(literal 1/36 binary64)))) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (neg.f64 y))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) y)) |
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
4 calls:
| 15.0ms | x |
| 12.0ms | y |
| 12.0ms | (/.f64 (sin.f64 y) y) |
| 11.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 1 | x |
| 62.0% | 1 | y |
| 62.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.0% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
Total -30.4b remaining (-94.9%)
Threshold costs -30.4b (-94.9%)
| 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 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) 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 | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.0% | 1 | (/.f64 (sin.f64 y) y) |
| 50.0% | 1 | y |
| 50.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 50.0% | 1 | x |
Compiled 20 to 13 computations (35% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 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 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 16 120× | lower-fma.f64 |
| 16 120× | lower-fma.f32 |
| 9 056× | lower-fma.f64 |
| 9 056× | lower-fma.f32 |
| 4 374× | 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 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1798 | 12 |
| 0 | 71 | 1606 |
| 1 | 187 | 1576 |
| 2 | 514 | 1556 |
| 3 | 1554 | 1546 |
| 4 | 3933 | 1546 |
| 5 | 7316 | 1546 |
| 0 | 8480 | 1462 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 50 to 29 computations (42% saved)
(negabs x)
(abs y)
Compiled 122 to 72 computations (41% saved)
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