
Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 923.0ms | 8 256× | 0 | valid |
ival-sin: 224.0ms (41.5% of total)ival-cos: 170.0ms (31.5% of total)ival-mult!: 127.0ms (23.5% of total)ival-add!: 18.0ms (3.3% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 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 |
| 66.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 31.0ms (62.5% of total)ival-cos: 12.0ms (24.2% of total)ival-mult!: 5.0ms (10.1% of total)ival-add!: 1.0ms (2% of total)adjust: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 93 |
| 1 | 95 | 90 |
| 2 | 193 | 90 |
| 3 | 345 | 90 |
| 4 | 659 | 90 |
| 5 | 1502 | 90 |
| 6 | 3807 | 90 |
| 7 | 7048 | 90 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #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 (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 540 |
| 0 | 156 | 534 |
| 1 | 866 | 528 |
| 0 | 7893 | 485 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #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 (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 z) (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 z) (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 z) (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 z) (cos.f64 y))))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 x) (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
z |
(fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
#s(approx (* x (sin y)) (*.f64 (sin.f64 y) x)) |
#s(approx x x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (* x (sin y)) (*.f64 y x)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* x (sin y)) (*.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 (* x (sin y)) (*.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) 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 (* z (cos y)) z) |
#s(approx (* z (cos y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (* z (cos y)) (*.f64 (cos.f64 y) z)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx z z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))))) |
Compiled 1 143 to 243 computations (78.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 12 | 63 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 52 | 12 | 64 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 41.7% | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 53.0% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| ▶ | 76.7% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
| 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ▶ | 49.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
| 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| 91.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) | |
| 89.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 41.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ▶ | 60.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| ▶ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 424 to 290 computations (31.6% saved)
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
(*.f64 z y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
(*.f64 x (sin.f64 y)) |
#s(approx (* z (cos y)) z) |
| Outputs |
|---|
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx y #s(hole binary64 y)) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (cos y) z) #s(hole binary64 z)) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #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 (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (* (cos y) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | z | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | z | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | x | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* z y) -1/2 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1523 |
| 0 | 296 | 1472 |
| 1 | 1511 | 1472 |
| 0 | 8089 | 1405 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
(*.f64 z y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
(*.f64 x (sin.f64 y)) |
#s(approx (* z (cos y)) z) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx y #s(hole binary64 y)) |
#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 (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (cos y) z) #s(hole binary64 z)) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #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 (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (* (cos y) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 (sin.f64 y)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 z) (cos.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 (sin.f64 y)) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 (sin.f64 y)) x)) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)))) (+.f64 z (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) (*.f64 z (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64))) (-.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (-.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y)))) |
(-.f64 z (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 3 binary64)) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) #s(literal 2 binary64)) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y)))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y) z) |
(+.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x))) |
(-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x))))) |
(+.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x) |
(+.f64 x (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 z y) |
(*.f64 y z) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(/.f64 (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 #s(approx (* z (cos y)) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* z (cos y)) z) #s(approx (* z (cos y)) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(approx (* z (cos y)) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z))))) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
(fma.f64 x (sin.f64 y) #s(approx (* z (cos y)) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z))) (/.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z))))) (/.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z)))))) |
(+.f64 #s(approx (* z (cos y)) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) #s(approx (* z (cos y)) z)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
#s(approx (* z (cos y)) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
#s(approx (* x (sin y)) (*.f64 (sin.f64 y) x)) |
#s(approx x x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (+.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (*.f64 x y)) z)) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* z y) -1/2) x) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x)) |
#s(approx (* x (sin y)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) y) x)) |
#s(approx (+ (* (* z y) -1/2) x) x) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) x) y)))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 z x))) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx y y) |
#s(approx (* x (sin y)) (*.f64 x y)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* x (sin y)) (*.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 (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) z) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 x y z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (* z (cos y)) z) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* x (sin y)) (*.f64 x y)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* x (sin y)) (*.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 (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* z (cos y)) z) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (+.f64 (/.f64 z (*.f64 y y)) (/.f64 x y))) (*.f64 y y))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (* z (cos y)) (*.f64 (cos.f64 y) z)) |
#s(approx (* z (cos y)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (neg.f64 x)) y))) (*.f64 y y))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx z z) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (neg.f64 (/.f64 (*.f64 x y) z))) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (* z y) -1/2) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
Compiled 4 585 to 653 computations (85.8% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 14 | 168 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 159 | 21 | 180 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 33.6% | (/.f64 (+.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* z (cos y)) z) #s(approx (* z (cos y)) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(approx (* z (cos y)) z) (*.f64 (sin.f64 y) x))))) | |
| 48.7% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) | |
| 48.9% | (+.f64 (*.f64 x #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 (* z (cos y)) z)) | |
| ▶ | 48.8% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
| 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| ▶ | 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
| 37.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) | |
| 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) | |
| ▶ | 91.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
| 89.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) | |
| 41.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 60.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 37.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 10.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) | |
| 3.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ▶ | 14.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| ▶ | 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
| ✓ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 975 to 623 computations (36.1% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y)) |
(*.f64 x y) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
(*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
#s(approx (* z (cos y)) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z y)) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ (cos y) (/ (* x (sin y)) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* -1/4 (* (pow y 2) (pow z 2))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (- (pow x 2) (* 1/4 (* (pow y 2) (pow z 2)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (+ x (* 1/2 (* y z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* x (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x (- (+ y (/ z x)) (* 1/2 (/ (* (pow y 2) z) x)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 x)) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (* y z) x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x))))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 z)) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (/ (* x y) z)))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ x z)))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#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 (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #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 (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 y)) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#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 (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
#s(approx (* 1/24 (* y y)) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (+ (* -1/4 (* (pow y 2) (pow z 2))) (pow x 2)))) |
#s(approx (* (* 1/2 (* z y)) (* 1/2 (* z y))) #s(hole binary64 (* 1/4 (* (pow y 2) (pow z 2))))) |
#s(approx (* 1/2 (* z y)) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ (sin y) z))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* -1/6 (pow y 3)))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))) |
#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 (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* 1/24 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* 1/24 (* (pow y 2) z)))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ x y) (* 1/2 z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ z (pow y 2)) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) (pow z 2))) (* 4 (/ (pow x 3) (pow z 2)))) (pow y 3))) (/ z (pow y 2))) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (* 1/4 (pow z 2)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* y (+ (* 1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* -1/2 z)))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* z (- (* 1/24 (pow y 2)) 1/2)))) |
#s(approx (* -1/2 z) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ (* x y) (* z (- 1 (* 1/2 (pow y 2))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* 1/4 (pow y 2)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* z (+ (* 1/2 y) (/ x z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* -1/2 y)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* (+ (* -1/6 (* y y)) 1) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* z (cos y)) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* 1/24 (* y y)) 1/24 (* -1/2 z) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y))) (* 1/2 (* z y)) 1/2 (* z y) (+ x (* 1/2 (* z y)))) |
| 8.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* (+ (* -1/6 (* y y)) 1) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* z (cos y)) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* 1/24 (* y y)) 1/24 (* -1/2 z) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y))) (* 1/2 (* z y)) 1/2 (* z y) (+ x (* 1/2 (* z y)))) |
| 6.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* (+ (* -1/6 (* y y)) 1) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* z (cos y)) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* 1/24 (* y y)) 1/24 (* -1/2 z) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y))) (* 1/2 (* z y)) 1/2 (* z y) (+ x (* 1/2 (* z y)))) |
| 6.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* (+ (* -1/6 (* y y)) 1) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* z (cos y)) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* 1/24 (* y y)) 1/24 (* -1/2 z) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y))) (* 1/2 (* z y)) 1/2 (* z y) (+ x (* 1/2 (* z y)))) |
| 5.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (sin y) y z x (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* (+ (* -1/6 (* y y)) 1) y) (+ (* -1/6 (* y y)) 1) -1/6 (* y y) 1 (* z (cos y)) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* 1/24 (* y y)) 1/24 (* -1/2 z) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y))) (* 1/2 (* z y)) 1/2 (* z y) (+ x (* 1/2 (* z y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 522 | 3805 |
| 0 | 565 | 3522 |
| 1 | 2723 | 3511 |
| 0 | 10285 | 3257 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y)) |
(*.f64 x y) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
(*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
#s(approx (* z (cos y)) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) |
(*.f64 x x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 z y)) |
#s(literal 1/2 binary64) |
(*.f64 z y) |
(+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ (cos y) (/ (* x (sin y)) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* -1/4 (* (pow y 2) (pow z 2))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (- (pow x 2) (* 1/4 (* (pow y 2) (pow z 2)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (+ x (* 1/2 (* y z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* x (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x (- (+ y (/ z x)) (* 1/2 (/ (* (pow y 2) z) x)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (/ (* (pow y 2) (pow z 2)) (pow x 2))))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 x)) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (* y z) x)))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x))))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 z)) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (/ (* x y) z)))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ x z)))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))))) |
#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 (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* x y))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* x (sin y)) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* x (sin y)) #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 (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 y)) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#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 (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
#s(approx (* 1/24 (* y y)) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (+ (* -1/4 (* (pow y 2) (pow z 2))) (pow x 2)))) |
#s(approx (* (* 1/2 (* z y)) (* 1/2 (* z y))) #s(hole binary64 (* 1/4 (* (pow y 2) (pow z 2))))) |
#s(approx (* 1/2 (* z y)) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* z y) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (/ (sin y) z) #s(hole binary64 (/ (sin y) z))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* -1/6 (pow y 3)))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))) |
#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 (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* 1/24 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* 1/24 (* (pow y 2) z)))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ x y) (* 1/2 z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ z (pow y 2)) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) (pow z 2))) (* 4 (/ (pow x 3) (pow z 2)))) (pow y 3))) (/ z (pow y 2))) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) (* 1/4 (pow z 2)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* y (+ (* 1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* -1/2 z)))))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* z (- (* 1/24 (pow y 2)) 1/2)))) |
#s(approx (* -1/2 z) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ (* x y) (* z (- 1 (* 1/2 (pow y 2))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) #s(hole binary64 (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (* 1/4 (pow y 2)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* z (+ (* 1/2 y) (/ x z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ x (* 1/2 (* z y))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* -1/2 y)))))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) (*.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))))) |
(fma.f64 (cos.f64 y) z (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 (cos.f64 y) z (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(fma.f64 z (cos.f64 y) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))))) |
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x))))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 y x))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 (+.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* z (cos y)) z) #s(approx (* z (cos y)) z) (-.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (*.f64 #s(approx (* z (cos y)) z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 3 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 3 binary64)) (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z))))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(fma.f64 x #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #s(approx (* z (cos y)) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z))) (/.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z))))) (/.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z)))))) |
(+.f64 #s(approx (* z (cos y)) z) (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) |
(+.f64 (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) #s(approx (* z (cos y)) z)) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
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#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
#s(approx (/ (sin y) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)) |
#s(approx (/ (sin y) z) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z) (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) y)) |
#s(approx (/ (sin y) z) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) 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 (-.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) (*.f64 (fma.f64 (-.f64 (*.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 (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) z) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 y x z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) y z)) |
#s(approx (* x (sin y)) (*.f64 y x)) |
#s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* x (sin y)) (*.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 (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) y) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#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 (* y y) (*.f64 y y)) |
#s(approx (* z (cos y)) z) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) z) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (fma.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
#s(approx (* 1/24 (* y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) z) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (fma.f64 y x z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) y z)) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))) |
#s(approx (* (* 1/2 (* z y)) (* 1/2 (* z y))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (* 1/2 (* z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y))) |
#s(approx (* z y) (*.f64 z y)) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (/ (sin y) z) (/.f64 (sin.f64 y) z)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (+.f64 (/.f64 z (*.f64 y y)) (/.f64 x y))) (*.f64 y y))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
#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 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 y y))) |
#s(approx (* z (cos y)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) z)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) z (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (-.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y))) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 z z)) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) (*.f64 y y))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 z z))) (*.f64 y y))) |
#s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 z y))) y))) (*.f64 y y))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 z y))) y))) (*.f64 y y))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (+ x (* 1/2 (* z y))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (/ (sin y) z) x) (cos y)) (/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)) |
#s(approx z z) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 y x))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) z)) |
#s(approx (* -1/2 z) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 z z))) |
#s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z))) |
#s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 y x) z))) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) z))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 y x) z))) #s(literal 1 binary64)) z))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
#s(approx (+ x (* 1/2 (* z y))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
Compiled 17 680 to 2 281 computations (87.1% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 18 | 456 |
| Fresh | 6 | 7 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 448 | 29 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.7% | (fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 48.8% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) | |
| 33.6% | (/.f64 (+.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* z (cos y)) z) #s(approx (* z (cos y)) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(approx (* z (cos y)) z) (*.f64 (sin.f64 y) x))))) | |
| 48.7% | (+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) | |
| 48.9% | (+.f64 (*.f64 x #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 (* z (cos y)) z)) | |
| 48.7% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) | |
| 48.8% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) | |
| 48.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 30.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) | |
| 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) | |
| 37.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) | |
| ▶ | 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
| 67.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) | |
| ▶ | 89.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| 78.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) z)) | |
| 73.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))) z)) | |
| 41.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 60.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 48.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) | |
| 32.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) | |
| ▶ | 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
| 10.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) | |
| 3.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ✓ | 14.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) y) y z))) | |
| ▶ | 36.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
| ✓ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 1 644 to 972 computations (40.9% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
(fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z)) |
(fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(*.f64 y y) |
#s(literal 1/24 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
#s(approx (* z (cos y)) z) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* z (cos y)))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ (cos y) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x (- (+ y (/ z x)) (* 1/2 (/ (* (pow y 2) z) x)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x))))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 z)) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ z (* x y)))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx y #s(hole binary64 y)) |
#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 (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
#s(approx (* (* (* y y) 1/24) z) #s(hole binary64 (* 1/24 (* (pow y 2) z)))) |
#s(approx (* (* y y) 1/24) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (cos y) z) #s(hole binary64 z)) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (- (* 1/24 (pow y 2)) 1/2))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow y 2))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ x y) (* 1/2 z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ z (pow y 2)) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) (pow z 2))) (* 4 (/ (pow x 3) (pow z 2)))) (pow y 3))) (/ z (pow y 2))) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* 1/24 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* 1/24 (* (pow y 2) z)))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (* (cos y) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* -1/720 (pow y 6)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* -1/720 (pow y 2)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ (* x y) (* z (- 1 (* 1/2 (pow y 2))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* z (- (* 1/24 (pow y 2)) 1/2)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (cos y) y x z (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* (* (* y y) 1/24) z) (* (* y y) 1/24) (* y y) 1/24 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 1/2 1 (+ (* (sin y) x) (* z (cos y))) (* z (cos y))) |
| 5.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (cos y) y x z (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* (* (* y y) 1/24) z) (* (* y y) 1/24) (* y y) 1/24 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 1/2 1 (+ (* (sin y) x) (* z (cos y))) (* z (cos y))) |
| 4.0ms | y | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (cos y) y x z (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* (* (* y y) 1/24) z) (* (* y y) 1/24) (* y y) 1/24 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 1/2 1 (+ (* (sin y) x) (* z (cos y))) (* z (cos y))) |
| 4.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (cos y) y x z (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* (* (* y y) 1/24) z) (* (* y y) 1/24) (* y y) 1/24 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 1/2 1 (+ (* (sin y) x) (* z (cos y))) (* z (cos y))) |
| 3.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (cos y) y x z (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* (* (* y y) 1/24) z) (* (* y y) 1/24) (* y y) 1/24 (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (+ (* -1/720 (* y y)) 1/24) -1/720 1/2 1 (+ (* (sin y) x) (* z (cos y))) (* z (cos y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 3652 |
| 0 | 478 | 3396 |
| 1 | 2276 | 3389 |
| 0 | 8728 | 3196 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
(fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z)) |
(fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
(*.f64 y y) |
#s(literal 1/24 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
#s(approx (* z (cos y)) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* z (cos y)))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (* z (cos y)) x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ (+ (* x (sin y)) (* z (cos y))) x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ (cos y) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (sin y) (/ (* z (cos y)) x)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* x (- (+ y (/ z x)) (* 1/2 (/ (* (pow y 2) z) x)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (- z (* 1/2 (* (pow y 2) z))) x))))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 z)) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ z (* x y)))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (/ z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ y (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (/ (cos y) x) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)))) |
#s(approx (cos y) #s(hole binary64 1)) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (cos y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx y #s(hole binary64 y)) |
#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 (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 z)) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* z (cos y)) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
#s(approx (* (* (* y y) 1/24) z) #s(hole binary64 (* 1/24 (* (pow y 2) z)))) |
#s(approx (* (* y y) 1/24) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (cos y) z) #s(hole binary64 z)) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (* (cos y) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow y 2))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 -1/2)) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (- (* 1/24 (pow y 2)) 1/2))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* 1/24 (pow y 2)))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow y 2))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ x y) (* 1/2 z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (/ z (pow y 2)) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ (+ (* -4 (/ (pow x 3) (pow z 2))) (* 4 (/ (pow x 3) (pow z 2)))) (pow y 3))) (/ z (pow y 2))) (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* 1/24 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* 1/24 (* (pow y 2) z)))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))))) |
#s(approx (* (cos y) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* -1/720 (pow y 6)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(hole binary64 (* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* -1/720 (pow y 4)))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) #s(hole binary64 (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* -1/720 (pow y 2)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(hole binary64 (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (+ (* x y) (* z (- 1 (* 1/2 (pow y 2))))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* z (- (* 1/24 (pow y 2)) 1/2)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* z (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) #s(hole binary64 (* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(*.f64 x (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z)) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z)))))) |
(fma.f64 (sin.f64 y) x (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 (sin.f64 y) x (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(fma.f64 x (sin.f64 y) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(fma.f64 x (sin.f64 y) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 x (*.f64 (/.f64 (cos.f64 y) x) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))))) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))) (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z))))) (/.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)))))) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) |
(/.f64 (cos.f64 y) x) |
(fma.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
y |
x |
z |
(sin.f64 y) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y) z)))) |
(fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z) |
(fma.f64 y #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) z) |
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#s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (+.f64 (/.f64 z x) y)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 z x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) y (/.f64 z x))) |
#s(approx (/ (cos y) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (cos y) x) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (cos y) x) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (cos y) x) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx y y) |
#s(approx (sin y) y) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) z) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (fma.f64 y x z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) y z)) |
#s(approx (* (cos y) z) z) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) z) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
#s(approx (* (* (* y y) 1/24) z) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) |
#s(approx (* (* y y) 1/24) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (cos y) z) z) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y) y)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* -1/720 (* y y)) 1/24) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) z) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) y z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (-.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y))) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 z z)) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 z (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) (*.f64 y y))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (* (cos y) z) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) z)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) z (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y))) |
#s(approx (* (cos y) z) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
#s(approx (+ (* (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (* y y)) 1) (*.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 y #s(literal -6 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (- (* (+ (* -1/720 (* y y)) 1/24) (* y y)) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64))) |
#s(approx (* (+ (* -1/720 (* y y)) 1/24) (* y y)) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) |
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 z y))) y))) (*.f64 y y))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx z z) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (*.f64 y x))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 y x) z)) #s(literal 1 binary64)) z)) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z))) |
#s(approx (* (+ (* (/ (cos y) x) z) (sin y)) x) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z))) |
#s(approx (+ (* (/ (cos y) x) z) (sin y)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x))) z))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 y x) z))) #s(literal 1 binary64)) z))) |
#s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
#s(approx (+ (* (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (* y y)) z) (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) z))) |
#s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) z))) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z))) |
Compiled 14 455 to 1 874 computations (87% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 14 | 354 |
| Fresh | 7 | 13 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 348 | 35 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.7% | (fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 48.7% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) | |
| 48.9% | (fma.f64 #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)) x #s(approx (* z (cos y)) z)) | |
| 48.8% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) | |
| 33.6% | (/.f64 (+.f64 (pow.f64 #s(approx (* (cos y) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* (cos y) z) z) #s(approx (* (cos y) z) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(approx (* (cos y) z) z) (*.f64 (sin.f64 y) x))))) | |
| 48.7% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) | |
| 48.8% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) | |
| 48.8% | #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 41.1% | #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| 30.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) | |
| 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) | |
| 37.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) | |
| ✓ | 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
| 67.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) | |
| ✓ | 89.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
| 89.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) z (sin.f64 y)) x)) | |
| 78.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) z)) | |
| 70.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) x)) | |
| 73.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))) z)) | |
| 61.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) x)) | |
| ✓ | 60.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 48.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) | |
| 32.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) | |
| 32.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) | |
| 50.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) | |
| ✓ | 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
| 37.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 10.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) | |
| 3.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ✓ | 14.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 37.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) | |
| 36.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) y) y z))) | |
| 36.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))) (*.f64 y y) z))) | |
| ✓ | 38.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 2 731 to 954 computations (65.1% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(fma.f64 #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)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) z (sin.f64 y)) x)) |
(/.f64 (+.f64 (pow.f64 #s(approx (* z (cos y)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* z (cos y)) z) #s(approx (* z (cos y)) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(approx (* z (cos y)) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (* (cos y) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(approx (* (cos y) z) z) #s(approx (* (cos y) z) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 #s(approx (* (cos y) z) z) (*.f64 (sin.f64 y) x))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))) z)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 32.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | y |
| 17.0ms | z |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(fma.f64 #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)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (*.f64 (/.f64 (cos.f64 y) x) z)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos y)) z)) |
4 calls:
| 24.0ms | y |
| 15.0ms | x |
| 12.0ms | z |
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 87.5% | 3 | x |
| 76.7% | 1 | y |
| 84.5% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(fma.f64 #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)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
4 calls:
| 13.0ms | y |
| 13.0ms | x |
| 11.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 80.6% | 6 | y |
| 75.4% | 3 | z |
| 73.5% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(fma.f64 #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)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 13.0ms | y |
| 11.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 2 | x |
| 65.5% | 3 | z |
| 71.8% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (cos y) x) z) (sin y)) (/.f64 z x)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* (/ (sin y) z) x) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 #s(approx (+ (* (* 1/24 (* y y)) z) (* -1/2 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z)) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (/ (- (* x x) (* (* 1/2 (* z y)) (* 1/2 (* z y)))) (+ x (* 1/2 (* z y)))) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (*.f64 y y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(fma.f64 #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)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x #s(approx (* z (cos y)) z)) |
(+.f64 (*.f64 x #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 z y)))) #s(approx (+ x (* 1/2 (* z y))) (*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) y z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 12.0ms | x |
| 10.0ms | z |
| 10.0ms | y |
| 10.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 49.9% | 1 | z |
| 49.9% | 1 | x |
| 49.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
4 calls:
| 6.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.0% | 3 | z |
| 40.6% | 2 | x |
| 40.1% | 2 | y |
| 38.4% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.4% | 1 | y |
| 38.4% | 1 | z |
| 38.4% | 1 | x |
Compiled 3 to 9 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.6743867023698745e-86 | 8.542884894778099e-85 |
| 15.0ms | -3.624328970463817e-116 | -7.773597820983739e-120 |
| 20.0ms | 240× | 0 | valid |
Compiled 372 to 329 computations (11.6% saved)
ival-sin: 6.0ms (42.8% of total)ival-cos: 5.0ms (35.7% of total)ival-mult!: 2.0ms (14.3% of total)ival-add!: 1.0ms (7.1% of total)adjust: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.563724520751822e+103 | 2.5348593419302104e+110 |
| 15.0ms | 1.9565786144148504e-15 | 0.01933395136247084 |
| 10.0ms | -0.06068193445271275 | -0.0003219382239437013 |
| 28.0ms | -2.1060669168436556e+53 | -9.700772811226818e+47 |
| 14.0ms | -1.6070657148486666e+105 | -2.2643661768831464e+104 |
| 56.0ms | 656× | 0 | valid |
Compiled 1 245 to 1 032 computations (17.1% saved)
ival-sin: 17.0ms (43% of total)ival-cos: 14.0ms (35.4% of total)ival-mult!: 7.0ms (17.7% of total)ival-add!: 1.0ms (2.5% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.9565786144148504e-15 | 0.01933395136247084 |
| 34.0ms | -71539710328073000.0 | -3485220316187900.5 |
| 32.0ms | 160× | 0 | valid |
Compiled 658 to 507 computations (22.9% saved)
ival-sin: 22.0ms (79.4% of total)ival-cos: 4.0ms (14.4% of total)ival-mult!: 2.0ms (7.2% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -5.65567655627699e+140 | -1.810731837552516e+134 |
| 12.0ms | 144× | 0 | valid |
Compiled 336 to 266 computations (20.8% saved)
ival-sin: 4.0ms (48.3% of total)ival-cos: 3.0ms (36.3% of total)ival-mult!: 1.0ms (12.1% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | fuel |
Compiled 284 to 71 computations (75% saved)
Compiled 586 to 158 computations (73% saved)
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