
Time bar (total: 7.3s)
| 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)
| 710.0ms | 8 256× | 0 | valid |
ival-sin: 230.0ms (58.6% of total)ival-div: 99.0ms (25.2% of total)ival-mult: 54.0ms (13.8% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 4.0ms (1% 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 |
| 165.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-sin: 83.0ms (54.4% of total)ival-mult: 65.0ms (42.6% of total)ival-div: 4.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 6 to 5 computations (16.7% 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)) |
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 | (sin.f64 y) | |
| accuracy | 0.11328125 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.14453125 | (/.f64 (sin.f64 y) y) |
| 17.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 8.0ms (69.9% of total)ival-div: 2.0ms (17.5% of total)ival-mult: 2.0ms (17.5% 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 |
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)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 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)) 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) |
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 |
|---|
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Compiled 2 112 to 446 computations (78.9% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 11 | 199 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 12 | 200 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) | |
| 85.3% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) | |
| 85.4% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ▶ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) | |
| ▶ | 48.8% | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
| ▶ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 85.3% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 57.8% | (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) | |
| 51.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 53.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 188 to 159 computations (15.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| cost-diff | 640 | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 64 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) | |
| cost-diff | -384 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x 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 | 0 | (/.f64 x (/.f64 y (sin.f64 y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 107 |
| 0 | 35 | 98 |
| 1 | 62 | 98 |
| 2 | 175 | 96 |
| 3 | 753 | 96 |
| 4 | 3036 | 96 |
| 5 | 4582 | 96 |
| 6 | 5630 | 96 |
| 7 | 6102 | 96 |
| 8 | 6234 | 96 |
| 9 | 6298 | 96 |
| 10 | 6323 | 96 |
| 11 | 7173 | 96 |
| 12 | 7835 | 96 |
| 0 | 8037 | 96 |
| 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 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
(*.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))) |
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 (/.f64 x y) (sin.f64 y)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 x) |
x |
(sin.f64 y) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(*.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 | (neg.f64 x) | |
| accuracy | 0.16015625 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| accuracy | 14.628495895034266 | (*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) | |
| accuracy | 17.721159644594824 | (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.16015625 | (*.f64 (neg.f64 x) (sin.f64 y)) | |
| accuracy | 9.399845794613853 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 7.461596714572131 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| accuracy | 0.11328125 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 30.329974197332344 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.109375 | (/.f64 x (/.f64 y (sin.f64 y))) | |
| accuracy | 0.1328125 | (/.f64 y (sin.f64 y)) |
| 195.0ms | 256× | 0 | valid |
Compiled 105 to 21 computations (80% saved)
ival-sin: 161.0ms (88.7% of total)ival-div: 9.0ms (5% of total)ival-mult: 8.0ms (4.4% of total)ival-neg: 2.0ms (1.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 y (sin.f64 y))) (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(literal 1 binary64)) (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) 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 (*.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>) () ()) |
| 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 y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (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 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (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 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (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 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (sin.f64 y)) (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.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 (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>) () ())) ()) |
#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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 192.0ms | y | @ | inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y)))) |
| 3.0ms | x | @ | inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y)))) |
| 2.0ms | x | @ | -inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y)))) |
| 2.0ms | y | @ | -inf | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y)))) |
| 2.0ms | x | @ | 0 | ((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1582 |
| 1 | 252 | 1579 |
| 2 | 709 | 1545 |
| 3 | 2103 | 1529 |
| 4 | 3559 | 1529 |
| 5 | 5421 | 1529 |
| 0 | 8107 | 1471 |
| 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
x |
(+ 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 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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))))))))) |
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) |
(/ (* 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* 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)) |
(/ (* 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* 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)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -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)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1 (* 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)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -1 (* 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)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
| 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 (*.f64 y y) 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)) 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)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 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)) 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 (*.f64 y y) 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)) 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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x 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 (*.f64 y y) 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)) x) |
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 (*.f64 y y) 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)) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) 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)) x) (neg.f64 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 (*.f64 y y) 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)) x) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1/6 (* x (pow y 2)))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) 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)) 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 (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) |
(/ (* 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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (* 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)) |
(/ (* 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 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 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) |
(/ 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) |
(/ (* 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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (* 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)) |
(/ (* 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 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 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) |
(* -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)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 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) |
(* -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)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 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) |
(* -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)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
(/ (* x (sin y)) (pow y 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 76 |
| 0 | 35 | 67 |
| 1 | 94 | 65 |
| 2 | 488 | 65 |
| 0 | 3767 | 65 |
| 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 y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (sin.f64 y)) |
(neg.f64 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))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 14 676 to 1 321 computations (91% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 287 | 9 | 1 296 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 292 | 16 | 1 308 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))) | |
| 49.6% | (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) | |
| 85.4% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ▶ | 89.2% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ▶ | 99.6% | (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
| ▶ | 62.6% | (/.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)))) |
| 62.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 50.4% | (*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y)) | |
| ✓ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 85.3% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| ▶ | 49.6% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 51.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 53.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 51.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
Compiled 231 to 188 computations (18.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) 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 (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 168 |
| 0 | 52 | 171 |
| 1 | 95 | 168 |
| 2 | 213 | 158 |
| 3 | 602 | 158 |
| 4 | 2037 | 158 |
| 5 | 3649 | 158 |
| 6 | 5034 | 158 |
| 7 | 5300 | 158 |
| 8 | 5377 | 158 |
| 9 | 5410 | 158 |
| 10 | 5641 | 158 |
| 11 | 6056 | 158 |
| 12 | 6736 | 158 |
| 13 | 7398 | 158 |
| 14 | 7532 | 158 |
| 15 | 7620 | 158 |
| 16 | 7632 | 158 |
| 17 | 7636 | 158 |
| 18 | 7636 | 158 |
| 19 | 7776 | 158 |
| 20 | 7827 | 158 |
| 21 | 7937 | 158 |
| 22 | 7955 | 158 |
| 0 | 8009 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(sin.f64 y) |
y |
(neg.f64 y) |
#s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.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)))) |
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))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) |
(/.f64 y (sin.f64 y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(sin.f64 y) |
y |
(neg.f64 y) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.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)))) |
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))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(sin.f64 y) |
y |
(/.f64 y x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 6.9400767979398506 | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 0.109375 | (/.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)))) | |
| accuracy | 30.54157514944206 | #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))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 14.628495895034266 | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) | |
| accuracy | 23.870776562502066 | #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.140625 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 5.157246192093712 | (*.f64 (*.f64 y y) x) | |
| accuracy | 30.77000293901127 | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.09375 | (/.f64 #s(literal -1 binary64) (sin.f64 y)) | |
| accuracy | 0.109375 | (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) |
| 103.0ms | 256× | 0 | valid |
Compiled 133 to 32 computations (75.9% saved)
ival-div: 48.0ms (54.7% of total)ival-sin: 12.0ms (13.7% of total)ival-mult: 11.0ms (12.5% of total)const: 9.0ms (10.3% of total)ival-add: 3.0ms (3.4% of total)ival-neg: 3.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.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 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1/6 (pow y 2)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (sin.f64 y)) (patch (/.f64 #s(literal -1 binary64) (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 #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) (patch (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#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 -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) (patch (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (pow y 2)) (taylor -inf x) (#s(alt #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) (patch #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (/.f64 y x)) (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y)) |
| 3.0ms | y | @ | inf | ((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y)) |
| 3.0ms | y | @ | -inf | ((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y)) |
| 3.0ms | x | @ | -inf | ((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y)) |
| 2.0ms | x | @ | 0 | ((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (/ (* (neg x) (sin y)) (neg (* y y))) (/ x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (sin y) (/ y x)) (/ y x) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 2086 |
| 1 | 274 | 2086 |
| 2 | 690 | 2056 |
| 3 | 2123 | 2036 |
| 4 | 4370 | 2036 |
| 0 | 8106 | 1931 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))))) |
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 y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
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)))))) |
(/ 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 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 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
1/6 |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* 7/360 (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)))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (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) |
(* -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) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* 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)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (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) |
(* -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) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* 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)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) 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)))) |
(* 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)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ 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 (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 (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)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ 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 (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 (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)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ (* x (sin y)) (pow y 2)) |
(/ 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 (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 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)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #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 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) 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)) y (/.f64 #s(literal -1 binary64) y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 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)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #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) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #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) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1/6 (* x (pow y 2)))) y) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y)) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y) |
(/.f64 (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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #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) (+ 1/6 (* 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (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 (* 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)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(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) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ 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)) |
(* 7/360 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(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) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ 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)) |
(* 7/360 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ 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) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ 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) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ (* x (sin y)) (pow y 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 148 |
| 0 | 52 | 151 |
| 1 | 184 | 138 |
| 2 | 1089 | 138 |
| 0 | 8420 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) |
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(sin.f64 y) |
#s(approx (/ x (/ y (sin 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 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
#s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) |
(/.f64 x y) |
(/.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)))) |
#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))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 y x) |
(neg.f64 y) |
| Outputs |
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Compiled 18 625 to 2 601 computations (86% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 138 | 12 | 1 150 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 142 | 24 | 1 166 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))) | |
| ▶ | 49.6% | (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) |
| ▶ | 85.4% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 89.2% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | 99.6% | (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
| 62.6% | (/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) | |
| 62.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 62.5% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
| 50.4% | (*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y)) | |
| ✓ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 85.3% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| 49.5% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y) | |
| 31.0% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y) | |
| ✓ | 49.6% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
| 49.5% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 53.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 51.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
| 51.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) | |
| 51.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) | |
| 51.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) | |
| 51.4% | #s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x))))) | |
| ▶ | 2.9% | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
Compiled 408 to 314 computations (23% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 640 | (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) | |
| cost-diff | 0 | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 225 |
| 0 | 51 | 219 |
| 1 | 91 | 219 |
| 2 | 151 | 219 |
| 3 | 217 | 219 |
| 4 | 434 | 219 |
| 5 | 956 | 219 |
| 6 | 2429 | 219 |
| 7 | 2782 | 219 |
| 8 | 2827 | 219 |
| 9 | 2865 | 219 |
| 10 | 2922 | 219 |
| 11 | 2994 | 219 |
| 12 | 4327 | 219 |
| 13 | 4661 | 219 |
| 14 | 5150 | 219 |
| 15 | 6093 | 219 |
| 16 | 6752 | 219 |
| 17 | 7104 | 219 |
| 18 | 7287 | 219 |
| 19 | 7418 | 219 |
| 20 | 7506 | 219 |
| 0 | 8642 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
x |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
#s(literal -1/6 binary64) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) |
(*.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 y y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
x |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
x |
y |
#s(literal -1/6 binary64) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
#s(literal 7/360 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 y y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.16015625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 31.688687082426114 | (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) | |
| accuracy | 0.109375 | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.15625 | (*.f64 #s(literal 7/360 binary64) (*.f64 y y)) | |
| accuracy | 30.54157514944206 | #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 31.40861398023248 | #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 x y) y) | |
| accuracy | 0.140625 | (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) | |
| accuracy | 30.77000293901127 | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) | |
| accuracy | 0.19921875 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) | |
| accuracy | 5.237590125297242 | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) | |
| accuracy | 30.77000293901127 | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) | |
| accuracy | 31.629255023111853 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.16015625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 9.333439544613853 | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 120.0ms | 256× | 0 | valid |
Compiled 144 to 29 computations (79.9% saved)
ival-mult: 31.0ms (53% of total)const: 9.0ms (15.4% of total)ival-div: 7.0ms (12% of total)ival-sin: 7.0ms (12% of total)ival-add: 4.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (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 (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (patch #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y 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 #s(literal 7/360 binary64) (*.f64 y y)) (patch (*.f64 #s(literal 7/360 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) 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 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) 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 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt 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 #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) 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 (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y 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 #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) (patch #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (patch #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) (patch #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) (patch (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) y) (patch (*.f64 (*.f64 x y) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) (patch (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (sin y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sin.f64 y) x) y) (patch (*.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y))) |
| 8.0ms | y | @ | 0 | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y))) |
| 3.0ms | y | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y))) |
| 3.0ms | y | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y))) |
| 2.0ms | x | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* -1/6 (* y y)) x) (* -1/6 (* y y)) (/ x (/ y (sin y))) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (* (sin y) x) y) (* y y)) (* (* (sin y) x) y) (* 7/360 (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 2402 |
| 1 | 277 | 2402 |
| 2 | 735 | 2364 |
| 3 | 2198 | 2350 |
| 4 | 4330 | 2350 |
| 5 | 7568 | 2350 |
| 0 | 8139 | 2230 |
| 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) |
(* 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 |
(* 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)))))) |
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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 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 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
1/6 |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* 7/360 (pow y 2))) |
(+ 1/6 (* 7/360 (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 (pow y 2)) |
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* 7/360 (pow y 2)) |
(* 7/360 (pow y 2)) |
(* 7/360 (pow y 2)) |
(* 7/360 (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)) |
(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) |
(* -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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* 7/360 (pow y 2)) |
(* 7/360 (pow y 2)) |
(* 7/360 (pow y 2)) |
(* 7/360 (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)) |
(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) |
(* -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)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* 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)) |
(* 7/360 (pow y 4)) |
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 7/360 (pow y 2)) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* 7/360 (pow y 2)) |
(* 7/360 (pow y 2)) |
(* 7/360 (pow y 2)) |
(* 7/360 (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 (+ 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 (+ 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 y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (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 (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin 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 (+ 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 (+ 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 y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (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 (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin 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) |
(* -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) |
(* -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 y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (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 (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
(* x (* y (sin y))) |
| 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) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.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 x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 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)) 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) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 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))) |
(+ 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)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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)) |
(*.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 y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
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)) |
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 (* 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)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow y 2))) |
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 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))) |
(+ 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 (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) y) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (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) (*.f64 y y)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
(* 7/360 (pow y 2)) |
(*.f64 #s(literal 7/360 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) |
(* 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) |
(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) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y 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) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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 y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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) |
(/ 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)) |
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(*.f64 (*.f64 y y) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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)) 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 (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(* x (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(* x (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
(* x (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 0 | 51 | 190 |
| 1 | 178 | 190 |
| 2 | 881 | 190 |
| 3 | 6979 | 190 |
| 0 | 8071 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) |
(*.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 #s(literal 7/360 binary64) (*.f64 y y)) |
| Outputs |
|---|
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Compiled 15 464 to 1 574 computations (89.8% saved)
28 alts after pruning (16 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 009 | 8 | 1 017 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 1 013 | 28 | 1 041 |
| Status | Accuracy | Program |
|---|---|---|
| 84.9% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))) | |
| ✓ | 49.6% | (/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) |
| ✓ | 85.4% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 89.2% | (/.f64 (sin.f64 y) (/.f64 y x)) |
| 38.5% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| ✓ | 99.8% | (/.f64 x (/.f64 y (sin.f64 y))) |
| ✓ | 99.6% | (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
| 62.6% | (/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) | |
| 62.8% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ✓ | 62.5% | (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))) |
| 50.4% | (*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y)) | |
| ✓ | 88.3% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 85.3% | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
| 48.6% | (*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y))) | |
| 49.5% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y) | |
| 31.0% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y) | |
| ✓ | 49.6% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
| 49.5% | (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 53.0% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 31.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))))) | |
| 51.9% | #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) | |
| 51.4% | #s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x))))) | |
| 2.9% | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) | |
| 2.9% | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x))) | |
| 2.9% | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) | |
| 2.9% | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) | |
| ✓ | 2.9% | #s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
Compiled 734 to 368 computations (49.9% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
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#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin 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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y) |
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x))))) |
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x))))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) y) (*.f64 y y)) |
(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))) |
(*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)) |
(*.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x)) (sin.f64 y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 y (sin.f64 y))) |
4 calls:
| 33.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 14.0ms | y |
| 12.0ms | x |
| 11.0ms | (/.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 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin 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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y) |
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x))))) |
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x))))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 13.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 10.0ms | x |
| 8.0ms | y |
| 8.0ms | (/.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 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin 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)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) y) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) x))) y) |
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.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 (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))) |
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) y) |
#s(approx (/ x (/ y (sin y))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x) (*.f64 (*.f64 x (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 (*.f64 x y) y) x))))) |
#s(approx (/ x (/ y (sin y))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 x (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 (*.f64 y y) x) x))))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))))))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
4 calls:
| 14.0ms | x |
| 11.0ms | y |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 1 | x |
| 62.8% | 1 | y |
| 62.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin 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 |
|---|
(*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
4 calls:
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 2 | x |
| 61.0% | 2 | y |
| 61.0% | 2 | (/.f64 (sin.f64 y) y) |
| 61.0% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 12 to 13 computations (-8.3% saved)
Total -32.3b remaining (-107.1%)
Threshold costs -32.3b (-107.1%)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x))) |
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) |
#s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ x (/ y (sin 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:
| 14.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 1 | x |
| 53.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.0% | 1 | y |
| 53.0% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005029465352797711 | 0.999999999999992 |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 71 |
| 1 | 41 | 71 |
| 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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))) |
(*.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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 #s(approx (/ (* (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #s(approx (/ x (/ y (sin y))) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
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 | 88 | 1582 |
| 1 | 252 | 1579 |
| 2 | 709 | 1545 |
| 3 | 2103 | 1529 |
| 4 | 3559 | 1529 |
| 5 | 5421 | 1529 |
| 0 | 8107 | 1471 |
| 0 | 33 | 148 |
| 0 | 52 | 151 |
| 1 | 184 | 138 |
| 2 | 1089 | 138 |
| 0 | 8420 | 138 |
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 19 | 12 |
| 2 | 72 | 12 |
| 3 | 336 | 12 |
| 0 | 1798 | 12 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 122 to 79 computations (35.2% saved)
(negabs x)
(abs y)
Compiled 178 to 120 computations (32.6% saved)
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