
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 617.0ms | 8 256× | 0 | valid |
ival-sin: 203.0ms (52.2% of total)ival-div: 123.0ms (31.6% of total)ival-mult: 53.0ms (13.6% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% 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 |
| 36.0ms | 512× | 0 | valid |
Compiled 40 to 19 computations (52.5% saved)
ival-sin: 15.0ms (67.5% of total)ival-div: 4.0ms (18% of total)ival-mult: 3.0ms (13.5% 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 (/.f64 (sin.f64 y) y) x) |
(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 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.09375 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.15625 | (/.f64 (sin.f64 y) y) |
| 23.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 9.0ms (54.8% of total)ival-div: 4.0ms (24.4% of total)ival-mult: 2.0ms (12.2% 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 (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 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 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 (/ (* 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 (/ (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) (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 -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 (/ (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) (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 (/.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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | 0 | ((* x (/ (sin y) y)) (/ (sin y) y) (sin 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 | 920 | 294 |
| 4 | 1456 | 294 |
| 5 | 2250 | 294 |
| 6 | 3376 | 294 |
| 7 | 3667 | 294 |
| 8 | 4402 | 294 |
| 9 | 6851 | 294 |
| 0 | 8532 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 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))) |
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)))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) 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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) 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) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(/ (* x (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) |
(/ (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) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 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) |
(/ (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) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 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) |
| 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) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (neg.f64 x) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 y) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
Compiled 2 248 to 433 computations (80.7% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 186 | 13 | 199 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 14 | 200 |
| Status | Accuracy | Program |
|---|---|---|
| 90.8% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) | |
| ▶ | 91.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 58.5% | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
| 91.3% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 89.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 90.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 44.8% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
| 66.5% | (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) | |
| 45.1% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 45.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 44.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 45.8% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 320 to 201 computations (37.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| cost-diff | 256 | (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) | |
| cost-diff | 640 | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) | |
| 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))) |
| 12 026× | lower-fma.f32 |
| 12 024× | lower-fma.f64 |
| 2 270× | lower-*.f32 |
| 2 256× | lower-*.f64 |
| 1 620× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 144 |
| 0 | 42 | 138 |
| 1 | 75 | 138 |
| 2 | 176 | 136 |
| 3 | 692 | 132 |
| 4 | 2980 | 132 |
| 5 | 4134 | 132 |
| 6 | 5172 | 132 |
| 7 | 5973 | 132 |
| 8 | 6594 | 132 |
| 9 | 6740 | 132 |
| 10 | 6873 | 132 |
| 11 | 7655 | 132 |
| 0 | 8009 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 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 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
y |
(neg.f64 (*.f64 y y)) |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
y |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.1484375 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| accuracy | 12.483790585934472 | (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) | |
| accuracy | 13.756382071093075 | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.1484375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 5.761546541788362 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.09375 | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) | |
| accuracy | 0.15625 | (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) | |
| accuracy | 35.31899248446339 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0.09375 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 34.96219936240308 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.078125 | (/.f64 x (/.f64 y (sin.f64 y))) | |
| accuracy | 0.15625 | (/.f64 y (sin.f64 y)) |
| 70.0ms | 256× | 0 | valid |
Compiled 117 to 22 computations (81.2% saved)
ival-sin: 25.0ms (44.2% of total)ival-mult: 17.0ms (30.1% of total)ival-div: 8.0ms (14.2% of total)const: 3.0ms (5.3% of total)ival-neg: 2.0ms (3.5% of total)ival-add: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 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 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (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 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 (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 x (taylor 0 y) (#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 (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#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 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#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 (+ 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 #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 1 (taylor 0 y) (#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 (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) (patch (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) (patch (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (sin y))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (sin.f64 y)) (patch (*.f64 (neg.f64 x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1)) |
| 3.0ms | y | @ | inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1)) |
| 2.0ms | y | @ | -inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1)) |
| 2.0ms | x | @ | -inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1)) |
| 1.0ms | x | @ | 0 | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ (* (sin y) x) y) (* (sin y) x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (* (neg x) (sin y)) (neg x) (+ (* (* y y) -1/6) 1)) |
| 1× | egg-herbie |
| 15 924× | lower-fma.f64 |
| 15 924× | lower-fma.f32 |
| 5 428× | lower-*.f64 |
| 5 428× | lower-*.f32 |
| 2 162× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1914 |
| 1 | 296 | 1881 |
| 2 | 859 | 1849 |
| 3 | 2625 | 1829 |
| 4 | 6417 | 1829 |
| 0 | 8190 | 1735 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 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 |
(* 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)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 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))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 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))) |
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)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
x |
(+ 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 y) |
(/ (+ x (* -1/6 (* x (pow y 2)))) y) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ 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) |
(/ (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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -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)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -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) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ 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) |
(/ (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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -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)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
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(/.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)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) 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)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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) |
(/ (* 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)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) 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)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 (* x (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 2 934× | lower-*.f32 |
| 2 920× | lower-*.f64 |
| 2 404× | lower-fma.f32 |
| 2 402× | lower-fma.f64 |
| 2 086× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 118 |
| 0 | 42 | 112 |
| 1 | 121 | 110 |
| 2 | 629 | 106 |
| 0 | 4991 | 102 |
| 1× | iter limit |
| 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 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) y))) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) y) y)) |
(*.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 y (/.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 y (/.f64 x y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 y) y)) (/.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 y (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 y (/.f64 y x)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 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 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y))) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 (*.f64 (sin.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sin.f64 y) y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 (neg.f64 x) y) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 y (/.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sin.f64 y) y) y)) |
(*.f64 (/.f64 x y) (/.f64 y (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y))) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 y (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 y (*.f64 (/.f64 (neg.f64 y) x) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 y y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 x (*.f64 y y)) (neg.f64 (sin.f64 y)))) |
(*.f64 (*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y)) y) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 y (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 x y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 x (*.f64 y y)) y)) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) y))) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 y (*.f64 (/.f64 x (*.f64 y y)) (sin.f64 y))) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) (*.f64 y y)) y)) |
(*.f64 x (/.f64 y (*.f64 y (/.f64 y (sin.f64 y))))) |
(*.f64 x (/.f64 (*.f64 (sin.f64 y) y) (*.f64 y y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 (sin.f64 y)) y)) y) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (sin.f64 y) y)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y) y) |
(/.f64 (*.f64 (*.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))))) |
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (/.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 y (/.f64 y x)) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 y x)) |
(/.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (*.f64 (/.f64 x y) y) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 x y) (*.f64 (/.f64 y (sin.f64 y)) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 y)) y)) x) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (sin.f64 y)) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 (sin.f64 y)) y)) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (sin.f64 y)) (*.f64 (*.f64 x x) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 (neg.f64 y) (sin.f64 y)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (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)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (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 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
Compiled 17 361 to 1 884 computations (89.1% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 236 | 21 | 1 257 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 242 | 29 | 1 271 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 91.4% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 36.9% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| 45.1% | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| ▶ | 44.8% | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
| 59.9% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 36.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))) | |
| 58.5% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y) | |
| 91.3% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 37.3% | (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| 90.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) | |
| 35.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 60.1% | (*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y))) | |
| 91.2% | (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| 37.2% | (*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| 49.8% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 44.3% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) | |
| ▶ | 44.4% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
| 44.3% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) | |
| ▶ | 2.7% | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
| 44.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 45.1% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 45.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 44.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 45.8% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 44.9% | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
Compiled 868 to 498 computations (42.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) | |
| cost-diff | 128 | (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) | |
| cost-diff | 1408 | (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| cost-diff | 384 | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 384 | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 3 736× | lower-fma.f32 |
| 3 726× | lower-fma.f64 |
| 3 134× | lower-*.f32 |
| 3 116× | lower-*.f64 |
| 1 414× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 425 |
| 0 | 72 | 419 |
| 1 | 126 | 388 |
| 2 | 224 | 380 |
| 3 | 483 | 370 |
| 4 | 1627 | 342 |
| 5 | 4744 | 337 |
| 6 | 5934 | 337 |
| 7 | 6981 | 337 |
| 8 | 7822 | 337 |
| 0 | 8015 | 324 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
x |
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) |
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
x |
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
y |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/6 binary64) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))))) |
x |
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) |
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
x |
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
y |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/36 binary64) y) y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) y) |
(*.f64 #s(literal -1/6 binary64) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.33203125 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 4.693944092302208 | (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| accuracy | 16.91424005454597 | (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) | |
| accuracy | 35.31899248446339 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) | |
| accuracy | 0.078125 | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.15625 | (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| accuracy | 35.31899248446339 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0.15625 | (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) | |
| accuracy | 27.30467147852874 | #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) | |
| accuracy | 35.31899248446339 | #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.12109375 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 7.377990167541409 | (*.f64 (*.f64 y y) x) | |
| accuracy | 35.25234743436518 | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 5.477615583152154 | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 147.0ms | 256× | 0 | valid |
Compiled 257 to 37 computations (85.6% saved)
ival-div: 61.0ms (48% of total)ival-mult: 46.0ms (36.2% of total)ival-sin: 7.0ms (5.5% of total)ival-add: 6.0ms (4.7% of total)const: 6.0ms (4.7% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) (patch (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) y) (patch (*.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<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 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<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 (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<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 #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) 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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) 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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) 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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) (patch (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<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 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) (patch #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) (patch #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y)) |
| 4.0ms | y | @ | -inf | ((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y)) |
| 3.0ms | y | @ | 0 | ((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y)) |
| 2.0ms | x | @ | -inf | ((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y)) |
| 2.0ms | x | @ | 0 | ((/ (sin y) (/ y x)) (sin y) (/ y x) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (+ (* (* y y) -1/6) 1) y) (/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* (+ (* (* y y) -1/6) 1) y) (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* y y) y) -1/6) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (* (* (* y y) y) -1/6) (+ (* (* y y) -1/6) 1) (sin y) (/ (* -1/6 y) (+ (* -1/6 (* y y)) -1)) (* -1/6 y)) |
| 1× | egg-herbie |
| 13 752× | lower-fma.f64 |
| 13 752× | lower-fma.f32 |
| 4 660× | lower-*.f64 |
| 4 660× | lower-*.f32 |
| 3 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 2500 |
| 1 | 420 | 2422 |
| 2 | 1091 | 2402 |
| 3 | 3271 | 2392 |
| 0 | 8537 | 2248 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))) |
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)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
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 |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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))) |
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)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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 |
(* 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)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
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)))) |
(* 1/6 y) |
(* y (+ 1/6 (* -1/36 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) |
(* y (+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36)))) |
(* -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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -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)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -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 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 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)) |
(/ 6 (pow y 2)) |
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -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)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ 1 y) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) y) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) y) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -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) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (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 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))))) |
(/ 6 (pow y 2)) |
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -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)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ 1 y) |
(* -1 (/ (- (* 6 (/ 1 (pow y 2))) 1) y)) |
(* -1 (/ (- (* 6 (/ 1 (pow y 2))) (+ 1 (/ 36 (pow y 4)))) y)) |
(* -1 (/ (- (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6)))) (+ 1 (/ 36 (pow y 4)))) 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) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (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) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
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(pow y 2) |
(*.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) |
(/ (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) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) |
(/ 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)) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(/ 6 (pow y 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 y y)) |
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64))) (*.f64 y y)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) (-.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal 6 binary64))) (/.f64 #s(literal 1296 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.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) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* 6 (/ 1 (pow y 2))) 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 y y))) y) |
(* -1 (/ (- (* 6 (/ 1 (pow y 2))) (+ 1 (/ 36 (pow y 4)))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y))) y) |
(* -1 (/ (- (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6)))) (+ 1 (/ 36 (pow y 4)))) y)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 216 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (*.f64 y y))) y) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(/ (* 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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y 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 (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) 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) |
(/ (* 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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y 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 (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) 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) |
(/ (* 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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y 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) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) 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) |
(/ (* 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) |
| 6 210× | lower-fma.f32 |
| 6 200× | lower-fma.f64 |
| 4 478× | lower-/.f32 |
| 4 462× | lower-/.f64 |
| 3 958× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 327 |
| 0 | 72 | 304 |
| 1 | 246 | 300 |
| 2 | 1502 | 292 |
| 0 | 8883 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
(/.f64 y x) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y) |
#s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) |
#s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/6 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (/.f64 x y)) |
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(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 y (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(pow.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)))) |
(/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))) |
(/.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y)) |
(neg.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) (*.f64 #s(literal 1/6 binary64) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -6 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
Compiled 43 888 to 3 953 computations (91% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 363 | 10 | 1 373 |
| Fresh | 6 | 15 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 372 | 30 | 1 402 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 91.4% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 36.9% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| 44.8% | (/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) | |
| 45.1% | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 2.7% | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)))) | |
| 59.9% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 59.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 2.7% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))) | |
| 58.5% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y) | |
| ▶ | 91.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 90.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) | |
| 35.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 60.1% | (*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y))) | |
| 91.2% | (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) | |
| 49.8% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 44.3% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
| 43.8% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) | |
| 44.4% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) | |
| ✓ | 2.7% | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
| 2.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) | |
| ▶ | 45.1% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 45.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 45.8% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 44.9% | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) | |
| 44.9% | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) | |
| 44.9% | #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) | |
| ▶ | 2.7% | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
Compiled 865 to 487 computations (43.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) | |
| cost-diff | 128 | (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) | |
| cost-diff | 1408 | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 7 584× | lower-fma.f32 |
| 7 572× | lower-fma.f64 |
| 2 840× | lower-*.f32 |
| 2 820× | lower-*.f64 |
| 1 658× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 420 |
| 0 | 75 | 414 |
| 1 | 136 | 398 |
| 2 | 254 | 381 |
| 3 | 578 | 381 |
| 4 | 1627 | 353 |
| 5 | 4802 | 348 |
| 6 | 6201 | 348 |
| 7 | 7965 | 348 |
| 0 | 8076 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 #s(literal -1 binary64) (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))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
x |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (/.f64 x y)) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/36 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) y) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25129715402015207 | (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.2740913401410183 | (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) | |
| accuracy | 26.170527137470483 | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| accuracy | 35.31899248446339 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 0.09375 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 35.15568260369856 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.078125 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 34.569428322023036 | #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 7.371012308629964 | (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) | |
| accuracy | 27.65775875756191 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) | |
| accuracy | 35.25234743436518 | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 5.567256274152081 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 126.0ms | 256× | 0 | valid |
Compiled 276 to 44 computations (84.1% saved)
ival-add: 43.0ms (42.1% of total)ival-mult: 25.0ms (24.5% of total)ival-div: 14.0ms (13.7% of total)const: 11.0ms (10.8% of total)ival-sin: 7.0ms (6.8% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) (patch #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (patch (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 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>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1))) |
| 3.0ms | y | @ | inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1))) |
| 2.0ms | y | @ | 0 | ((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1))) |
| 2.0ms | x | @ | -inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1))) |
| 2.0ms | x | @ | inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) -1/6) x) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) (* (+ (* (* (* (* (* y y) y) -1/6) y) (/ -1/6 (+ (* -1/6 (* y y)) -1))) (neg (/ -1 (+ (* 1/6 (* y y)) 1)))) y) (neg (/ -1 (+ (* 1/6 (* y y)) 1))) (* x (/ (sin y) y)) (+ (* -1/5040 (* y y)) 1/120) (sin y) (/ -1/6 (+ (* -1/6 (* y y)) -1)) (/ -1 (+ (* 1/6 (* y y)) 1))) |
| 1× | egg-herbie |
| 24 562× | lower-fma.f64 |
| 24 562× | lower-fma.f32 |
| 5 556× | lower-*.f64 |
| 5 556× | lower-*.f32 |
| 3 904× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 2724 |
| 1 | 447 | 2694 |
| 2 | 1207 | 2674 |
| 3 | 3661 | 2656 |
| 0 | 8553 | 2514 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 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)))) |
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 |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
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 |
(+ 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))) |
-1/6 |
(- (* 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 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
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)))) |
1/6 |
(+ 1/6 (* -1/36 (pow y 2))) |
(+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36))) |
(+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36))) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1) |
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x 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) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (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) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -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 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))))) |
(* -1/6 (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 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)) |
(/ 6 (pow y 2)) |
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -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)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ 1 (pow y 2)) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2)) |
(/ -6 (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x 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) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (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) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -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 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))))) |
(* -1/6 (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 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))))) |
(/ 6 (pow y 2)) |
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -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)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ 1 (pow y 2)) |
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2)) |
(/ -6 (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2)) |
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2)) |
(/ (* 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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (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) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
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(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) #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) |
(/ (* 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) |
| 6 246× | lower-fma.f32 |
| 6 234× | lower-fma.f64 |
| 4 328× | lower-/.f32 |
| 4 318× | lower-/.f64 |
| 4 300× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 323 |
| 0 | 75 | 310 |
| 1 | 269 | 306 |
| 2 | 1749 | 298 |
| 0 | 8160 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(/.f64 #s(literal -1/6 binary64) (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))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(sin.f64 y) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y)) |
(*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y) |
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) y)) |
(*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x)) |
(*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (/.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) #s(literal -1 binary64))) |
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)) (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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64))) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
Compiled 41 432 to 3 705 computations (91.1% saved)
35 alts after pruning (28 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 176 | 14 | 1 190 |
| Fresh | 6 | 14 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 185 | 35 | 1 220 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 91.4% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 36.9% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| 44.8% | (/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) | |
| 2.7% | (/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)))) | |
| 59.9% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 59.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 47.9% | (/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) | |
| 44.6% | (/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) | |
| 47.9% | (/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))))) | |
| 44.6% | (/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) | |
| 18.4% | (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) | |
| 59.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 2.7% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))) | |
| 58.5% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y) | |
| ✓ | 91.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 36.4% | (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| 59.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) | |
| 35.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) | |
| 91.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) | |
| 60.1% | (*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y))) | |
| 49.8% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 43.7% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) | |
| 43.8% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) | |
| 44.4% | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) | |
| ✓ | 2.7% | (*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
| 2.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) | |
| ✓ | 45.1% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 45.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 45.8% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 44.9% | #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) | |
| 2.7% | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) | |
| 2.7% | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
Compiled 1 438 to 507 computations (64.7% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin 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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))) |
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (*.f64 y x) (/.f64 (sin.f64 y) (*.f64 y y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y y)) y) |
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
4 calls:
| 55.0ms | x |
| 23.0ms | (/.f64 (sin.f64 y) y) |
| 21.0ms | y |
| 17.0ms | (*.f64 x (/.f64 (sin.f64 y) 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))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin 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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))) |
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 76.0ms | y |
| 31.0ms | (/.f64 (sin.f64 y) y) |
| 29.0ms | x |
| 16.0ms | (*.f64 x (/.f64 (sin.f64 y) 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))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin 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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))) |
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) #s(literal -1 binary64)))))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) y #s(literal -1 binary64)) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(approx (neg (/ -1 (+ (* 1/6 (* y y)) 1))) #s(literal 1 binary64))) y)) y)) |
(/.f64 x #s(approx (/ y (sin y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))))) |
(/.f64 x #s(approx (/ y (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y)) y)) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 15.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 14.0ms | y |
| 13.0ms | x |
| 13.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 1 | x |
| 59.9% | 1 | y |
| 59.9% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.9% | 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))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin 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 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x)) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x (/.f64 y #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) x))) |
(/.f64 x (/.f64 y #s(approx (sin y) (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 12.0ms | (/.f64 (sin.f64 y) y) |
| 9.0ms | y |
| 9.0ms | x |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.8% | 1 | y |
| 59.8% | 1 | (/.f64 (sin.f64 y) y) |
| 59.8% | 1 | x |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) x) |
(*.f64 x (/.f64 #s(approx (sin y) #s(approx (* (+ (* (* y y) -1/6) 1) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) y)) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.8% | 1 | y |
| 59.8% | 1 | x |
| 59.8% | 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))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
4 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.8% | 2 | y |
| 58.2% | 2 | x |
| 59.8% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
3 calls:
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 58.8% | 2 | (/.f64 (sin.f64 y) y) |
| 58.9% | 2 | y |
Compiled 17 to 11 computations (35.3% saved)
Total -27.8b remaining (-80%)
Threshold costs -27.8b (-80%)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | x |
| 45.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 45.8% | 1 | (/.f64 (sin.f64 y) y) |
| 45.8% | 1 | y |
Compiled 20 to 13 computations (35% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1575.75533695332 | 2258.6203615843788 |
| 4.0ms | 64× | 0 | valid |
Compiled 107 to 66 computations (38.3% saved)
ival-sin: 2.0ms (66.6% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1575.75533695332 | 2258.6203615843788 |
Compiled 95 to 58 computations (38.9% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 148 |
| 1 | 63 | 148 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))) |
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)) |
(if (<=.f64 y #s(literal 2020 binary64)) #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
| 24 562× | lower-fma.f64 |
| 24 562× | lower-fma.f32 |
| 16 120× | lower-fma.f64 |
| 16 120× | lower-fma.f32 |
| 15 924× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 920 | 294 |
| 4 | 1456 | 294 |
| 5 | 2250 | 294 |
| 6 | 3376 | 294 |
| 7 | 3667 | 294 |
| 8 | 4402 | 294 |
| 9 | 6851 | 294 |
| 0 | 8532 | 276 |
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1798 | 12 |
| 0 | 100 | 1914 |
| 1 | 296 | 1881 |
| 2 | 859 | 1849 |
| 3 | 2625 | 1829 |
| 4 | 6417 | 1829 |
| 0 | 8190 | 1735 |
| 0 | 165 | 2724 |
| 1 | 447 | 2694 |
| 2 | 1207 | 2674 |
| 3 | 3661 | 2656 |
| 0 | 8553 | 2514 |
| 0 | 42 | 327 |
| 0 | 72 | 304 |
| 1 | 246 | 300 |
| 2 | 1502 | 292 |
| 0 | 8883 | 289 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 318 to 156 computations (50.9% saved)
(negabs x)
(abs y)
Compiled 314 to 138 computations (56.1% saved)
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