
Time bar (total: 2.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 643.0ms | 8 256× | 0 | valid |
ival-sin: 230.0ms (65% of total)ival-div: 63.0ms (17.8% of total)ival-mult: 56.0ms (15.8% of total)adjust: 3.0ms (0.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 58.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-div: 19.0ms (53.8% of total)ival-sin: 12.0ms (34% of total)ival-mult: 3.0ms (8.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 39 | 38 |
| 2 | 84 | 38 |
| 3 | 137 | 38 |
| 4 | 261 | 38 |
| 5 | 533 | 38 |
| 6 | 1239 | 38 |
| 7 | 3186 | 38 |
| 8 | 6560 | 38 |
| 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× | node limit |
| 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)
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | x | @ | inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | y | @ | -inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | y | @ | inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | x | @ | -inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 245 |
| 0 | 68 | 245 |
| 1 | 318 | 245 |
| 0 | 2690 | 231 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
x |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(sin.f64 y) |
y |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx x x) |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y)) |
#s(approx y y) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (sin y) (sin.f64 y)) |
Compiled 387 to 103 computations (73.4% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 7 | 35 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 28 | 8 | 36 |
| Status | Accuracy | Program |
|---|---|---|
| 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ▶ | 89.8% | (*.f64 (sin.f64 y) (/.f64 x y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 49.0% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 49.2% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| 49.0% | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| ▶ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
| ▶ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 184 to 129 computations (29.9% saved)
| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sin.f64 y) |
y |
(/.f64 x y) |
x |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) 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) |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 x)) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6) |
| 3.0ms | x | @ | -inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6) |
| 3.0ms | y | @ | -inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6) |
| 2.0ms | x | @ | 0 | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6) |
| 2.0ms | x | @ | inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (- (* 1/120 (* y y)) 1/6) (* 1/120 (* y y)) 1/120 1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 856 |
| 0 | 161 | 834 |
| 1 | 626 | 830 |
| 0 | 4559 | 795 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 x y)) |
(sin.f64 y) |
y |
(/.f64 x y) |
x |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) 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) |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 x)) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (* 1/120 (* y y)) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(sin.f64 y) |
y |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
x |
#s(approx (* (sin y) (/ x y)) x) |
#s(approx (* (sin y) (/ x y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) x) |
(fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(-.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
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(*.f64 (*.f64 #s(literal 1/120 binary64) y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64))) |
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(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) y)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (* (sin y) (/ x y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (* (sin y) (/ x y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* y y) x) (*.f64 (*.f64 y y) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
#s(approx (* (sin y) (/ x y)) x) |
#s(approx (* (sin y) (/ x y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (sin y) (/ x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
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#s(approx (sin y) y) |
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#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx y y) |
#s(approx (* (sin y) (/ x y)) x) |
#s(approx (* (sin y) (/ x y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (sin y) (/ x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (sin y) (/ x y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) x) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) -1/6) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (- (* 1/120 (* y y)) 1/6) #s(literal -1/6 binary64)) |
#s(approx (- (* 1/120 (* y y)) 1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
#s(approx (* 1/120 (* y y)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y)) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64) (+.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (- (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (- (* 1/120 (* y y)) 1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)) y) y)) |
Compiled 6 300 to 1 067 computations (83.1% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 9 | 307 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 302 | 13 | 315 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 89.8% | (*.f64 (sin.f64 y) (/.f64 x y)) |
| ▶ | 49.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
| 39.4% | (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 x y)) | |
| 52.2% | (*.f64 #s(approx (sin y) y) (/.f64 x y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 49.2% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| 49.0% | #s(approx (* (sin y) (/ x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) | |
| ▶ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
| ▶ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
| ✓ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 332 to 232 computations (30.1% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* (* y y) x) -1/6) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* x y) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 x)) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 -1/6)) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (* (/ (sin y) y) x) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (+ (* (* y y) 1/120) -1/6) 1/120) |
| 3.0ms | x | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (* (/ (sin y) y) x) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (+ (* (* y y) 1/120) -1/6) 1/120) |
| 3.0ms | y | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (* (/ (sin y) y) x) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (+ (* (* y y) 1/120) -1/6) 1/120) |
| 2.0ms | x | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (* (/ (sin y) y) x) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (+ (* (* y y) 1/120) -1/6) 1/120) |
| 2.0ms | x | @ | 0 | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) -1/6 (* x (/ (sin y) y)) (+ (* y (* (* x y) -1/6)) x) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (* (/ (sin y) y) x) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (+ (* (* y y) 1/120) -1/6) 1/120) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1202 |
| 0 | 197 | 1168 |
| 1 | 700 | 1155 |
| 0 | 5019 | 1130 |
| 1× | iter limit |
| 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 (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* (* y y) x) -1/6) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* x y) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 x)) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ (sin y) y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 -1/6)) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(approx (* (/ (sin y) y) x) #s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x)) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
#s(literal -1/6 binary64) |
#s(approx (* (/ (sin y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(-.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(neg.f64 (*.f64 (*.f64 x y) #s(literal 1/6 binary64))) |
(neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x y))) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
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(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/120 binary64))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(literal 1/120 binary64) |
#s(approx (* (/ (sin y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (* (sin y) x) (*.f64 (sin.f64 y) x)) |
#s(approx x x) |
#s(approx (* (/ (sin y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* (* y y) x) -1/6) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (* (* y y) x) (*.f64 (*.f64 y y) x)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* x y) -1/6) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
#s(approx (* x y) (*.f64 x y)) |
#s(approx (* (/ (sin y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin y) y) x) x) |
#s(approx (* (/ (sin y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) x))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) x)) y)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx y y) |
#s(approx (* (/ (sin y) y) x) x) |
#s(approx (* (/ (sin y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) x))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) x) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) x) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (* -1/6 y) y) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* -1/6 y) y) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* -1/6 y) (*.f64 #s(literal -1/6 binary64) y)) |
#s(approx (* (/ (sin y) y) x) x) |
#s(approx (* (/ (sin y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) x))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) |
#s(approx (+ (* (* y y) 1/120) -1/6) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) y) y)) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* y (* (* x y) -1/6)) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) y) y)) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (+ (* (* -1/6 y) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* -1/6 y) y) 1) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y)) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64) (+.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/6 binary64) #s(literal 1/120 binary64)) y) y)) |
Compiled 7 205 to 1 167 computations (83.8% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 326 | 5 | 331 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 330 | 14 | 344 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 38.1% | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) | |
| ▶ | 38.5% | (/.f64 (*.f64 #s(approx (sin y) y) x) y) |
| ✓ | 89.8% | (*.f64 (sin.f64 y) (/.f64 x y)) |
| ✓ | 49.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
| ▶ | 52.2% | (*.f64 #s(approx (sin y) y) (/.f64 x y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 49.2% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| 49.0% | #s(approx (* (/ (sin y) y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| ▶ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
| ✓ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
| ▶ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
| ▶ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
| ✓ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 313 to 215 computations (31.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
#s(approx (sin y) y) |
y |
(/.f64 x y) |
x |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 y y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (sin y) y) x) |
| Outputs |
|---|
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y y) (* -1/6 x)) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (* (* (* x y) -1/6) y) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* x y) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* -1/6 x) y) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 x)) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) (* -1/6 x)) (* y y) (* -1/6 x) -1/6 (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* x y) -1/6) y) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (+ (* (* (* -1/6 x) y) y) x) (* (* -1/6 x) y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 2.0ms | x | @ | inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) (* -1/6 x)) (* y y) (* -1/6 x) -1/6 (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* x y) -1/6) y) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (+ (* (* (* -1/6 x) y) y) x) (* (* -1/6 x) y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 2.0ms | y | @ | -inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) (* -1/6 x)) (* y y) (* -1/6 x) -1/6 (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* x y) -1/6) y) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (+ (* (* (* -1/6 x) y) y) x) (* (* -1/6 x) y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 2.0ms | x | @ | 0 | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) (* -1/6 x)) (* y y) (* -1/6 x) -1/6 (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* x y) -1/6) y) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (+ (* (* (* -1/6 x) y) y) x) (* (* -1/6 x) y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 2.0ms | y | @ | inf | ((* (sin y) (/ x y)) (sin y) y (/ x y) x (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) (* -1/6 x)) (* y y) (* -1/6 x) -1/6 (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* x y) -1/6) y) (* (* x y) -1/6) (* x y) (* x (/ (sin y) y)) (+ (* (* (* -1/6 x) y) y) x) (* (* -1/6 x) y) (/ (* (sin y) x) y) (* (sin y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 901 |
| 0 | 153 | 885 |
| 1 | 530 | 881 |
| 0 | 3731 | 853 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
#s(approx (sin y) y) |
y |
(/.f64 x y) |
x |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 y y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (sin y) y) x) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y y) (* -1/6 x)) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (* (* (* x y) -1/6) y) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* x y) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* -1/6 x) y) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 x)) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
| Outputs |
|---|
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(*.f64 x (/.f64 #s(approx (sin y) y) y)) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (sin y) y)) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) y)) |
(neg.f64 (/.f64 (*.f64 x #s(approx (sin y) y)) (neg.f64 y))) |
#s(approx (sin y) y) |
y |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
x |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal -1/6 binary64) y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))) |
(-.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(*.f64 x (/.f64 #s(approx (sin y) y) y)) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (sin y) y)) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) y)) |
(neg.f64 (/.f64 (*.f64 x #s(approx (sin y) y)) (neg.f64 y))) |
(*.f64 x #s(approx (sin y) y)) |
(*.f64 #s(approx (sin y) y) x) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* (* x y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (* -1/6 x) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (* (* (* x y) -1/6) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (* (* -1/6 x) y) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
#s(approx (* x y) (*.f64 x y)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* -1/6 x) y) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (* (sin y) x) (*.f64 x (sin.f64 y))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y)) |
#s(approx y y) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) x) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) x) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* -1/6 x) y) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) |
Compiled 3 501 to 506 computations (85.5% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 2 | 168 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 6 | 7 |
| Total | 169 | 13 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 38.1% | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) | |
| ✓ | 38.5% | (/.f64 (*.f64 #s(approx (sin y) y) x) y) |
| ✓ | 89.8% | (*.f64 (sin.f64 y) (/.f64 x y)) |
| ✓ | 49.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
| ✓ | 52.2% | (*.f64 #s(approx (sin y) y) (/.f64 x y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 49.2% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| 49.0% | #s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| ✓ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
| 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) | |
| ✓ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
| ✓ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 566 to 218 computations (61.5% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (sin y) (/ x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (/.f64 (sin.f64 y) y) |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (sin y) (/ x y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (/ (sin y) y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
4 calls:
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 6.0ms | y |
| 5.0ms | x |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | x |
| 62.6% | 2 | (/.f64 (sin.f64 y) y) |
| 62.4% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.6% | 2 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
2 calls:
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 2 | (/.f64 (sin.f64 y) y) |
| 62.6% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | (/.f64 (sin.f64 y) y) |
| 62.5% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
Total -30.2b remaining (-93.9%)
Threshold costs -30.2b (-93.9%)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
4 calls:
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 49.7% | 1 | x |
| 49.7% | 1 | (/.f64 (sin.f64 y) y) |
| 49.7% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0032399569650217105 | 9243745.016913828 |
| 10.0ms | 144× | 0 | valid |
Compiled 279 to 199 computations (28.7% saved)
ival-sin: 4.0ms (61.4% of total)ival-div: 1.0ms (15.3% of total)ival-mult: 1.0ms (15.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0032399569650217105 | 9243745.016913828 |
Compiled 243 to 190 computations (21.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.4154688115358923e+24 | 2.743859274299304e+26 |
| 13.0ms | 112× | 0 | valid |
Compiled 170 to 136 computations (20% saved)
ival-div: 5.0ms (47.4% of total)ival-sin: 4.0ms (37.9% of total)ival-mult: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 105 |
| 1 | 41 | 105 |
| 2 | 46 | 105 |
| 3 | 56 | 105 |
| 4 | 80 | 105 |
| 5 | 253 | 105 |
| 6 | 2260 | 105 |
| 7 | 5393 | 105 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 9/2 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) (*.f64 #s(approx (sin y) y) (/.f64 x y))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (*.f64 #s(approx (sin y) y) (/.f64 x y))) |
(if (<=.f64 y #s(literal 4400000000000000033554432 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) (*.f64 #s(approx (sin y) y) (/.f64 x y))) |
#s(approx (* x (/ (sin y) y)) x) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 9/2 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) (*.f64 #s(approx (sin y) y) (/.f64 x y))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (*.f64 #s(approx (sin y) y) (/.f64 x y))) |
(if (<=.f64 y #s(literal 4400000000000000033554432 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) x)) (*.f64 #s(approx (sin y) y) (/.f64 x y))) |
#s(approx (* x (/ (sin y) y)) x) |
| 1× | fuel |
Compiled 105 to 36 computations (65.7% saved)
(negabs x)
(abs y)
Compiled 270 to 122 computations (54.8% saved)
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