
Time bar (total: 3.4s)
| 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)
| 870.0ms | 8 256× | 0 | valid |
ival-sin: 307.0ms (48.7% of total)ival-cos: 168.0ms (26.6% of total)ival-mult!: 138.0ms (21.9% of total)ival-add!: 17.0ms (2.7% of total)adjust: 2.0ms (0.3% 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 |
| 43.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 11.0ms (40% of total)ival-cos: 10.0ms (36.4% of total)ival-mult!: 5.0ms (18.2% of total)ival-add!: 1.0ms (3.6% 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 |
|---|---|---|
| ▶ | 99.7% | (+.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 | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) x (sin y) y (* z (cos y)) z (cos y)) |
| 1.0ms | 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 | 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 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 99.8% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| ▶ | 81.6% | (+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
| 58.9% | (+.f64 #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)) (*.f64 z (cos.f64 y))) | |
| 55.3% | #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)) | |
| ▶ | 55.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
| 56.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| 90.1% | #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)) | |
| 46.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ▶ | 55.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| ▶ | 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 380 to 276 computations (27.4% saved)
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#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 (*.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 (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ (* x (sin y)) (* z (cos 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 (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #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 (+ (* (sin y) x) (* (cos y) z)) #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 (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 y #s(hole binary64 y)) |
#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 (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 (+ (* 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 (* 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 (sin y) #s(hole binary64 (sin y))) |
#s(approx (* (cos y) z) #s(hole binary64 (* z (cos 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 (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x 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 (+ (* (sin y) x) (* (cos y) z)) #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 (+ (* (sin y) x) (* (cos y) z)) #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 | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* 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))) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 3.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* 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))) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | z | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* 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))) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | z | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* 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))) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
| 2.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) y x (* (cos y) z) (cos y) z (+ (* 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))) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 1430 |
| 0 | 288 | 1379 |
| 1 | 1502 | 1379 |
| 0 | 8198 | 1318 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#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 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
(*.f64 x (sin.f64 y)) |
#s(approx (* z (cos y)) z) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ (* x (sin y)) (* z (cos 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 (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (* x (sin y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #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 (+ (* (sin y) x) (* (cos y) z)) #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 (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 y #s(hole binary64 y)) |
#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 (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 (+ (* 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 (* 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 (sin y) #s(hole binary64 (sin y))) |
#s(approx (* (cos y) z) #s(hole binary64 (* z (cos 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 (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x 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 (+ (* (sin y) x) (* (cos y) z)) #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 (+ (* (sin y) x) (* (cos y) z)) #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 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 y)) z) (*.f64 (neg.f64 (cos.f64 y)) z))) (fma.f64 (sin.f64 y) x (*.f64 (neg.f64 (cos.f64 y)) z))) |
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y |
x |
(*.f64 (cos.f64 y) z) |
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z |
#s(approx (+ (* x (sin y)) (* z (cos y))) z) |
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(*.f64 z y) |
(*.f64 y z) |
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#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
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(*.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 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 (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 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 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.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 #s(literal -1/720 binary64) (*.f64 (*.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) #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 (+ (* 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 (* 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 (*.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 (* 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 #s(literal 1/24 binary64) (*.f64 (*.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 #s(literal -1/720 binary64) (*.f64 (*.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 (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 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 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 4 530 to 636 computations (86% 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 |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 81.6% | (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)) |
| 55.7% | (+.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)) | |
| 55.5% | (+.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)) | |
| 55.8% | (+.f64 #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 (* z (cos y)) z)) | |
| ▶ | 55.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
| ▶ | 50.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
| 36.5% | #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)) | |
| 56.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) x) y z)) | |
| 90.1% | #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)) | |
| 46.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 55.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 36.4% | #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)) | |
| 36.4% | #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)) | |
| 3.0% | #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)))) | |
| ▶ | 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| ▶ | 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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))) |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| ✓ | 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 883 to 595 computations (32.6% 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))) #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) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(fma.f64 #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)) y z) |
#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)) |
(*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y (/.f64 z x)) |
(/.f64 z x) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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 (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) |
#s(literal -1/720 binary64) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
(*.f64 #s(literal 1/24 binary64) z) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) 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 (* x y) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (* y z) x)))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (/ (+ x (* -1/2 (* y z))) x))) |
#s(approx (* y (/ z x)) #s(hole binary64 (/ (* y z) x))) |
#s(approx (/ z x) #s(hole binary64 (/ z x))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 x)) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (+ 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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) 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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 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 (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y 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) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* 1/24 z))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))) |
#s(approx (* (* y y) z) #s(hole binary64 (* (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* y (+ (* -1/2 (/ z x)) (/ 1 y))))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1/720 (* (pow y 6) z)))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* -1/720 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* -1/720 (* (pow y 2) z)))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 y)))))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* z (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (* 1/24 z) #s(hole binary64 (* 1/24 z))) |
#s(approx (* -1/2 z) #s(hole binary64 (* -1/2 z))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* z (+ (* -1/2 (/ y x)) (/ 1 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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 z)))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* -1 (* z (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* -1 (* z (- (* 1/720 (pow y 2)) 1/24))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | z | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* y (/ z x)) (/ z x) 1 (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) -1/720 (* (* y y) z) (* y y) (* 1/24 z) 1/24 (* -1/2 z)) |
| 5.0ms | z | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* y (/ z x)) (/ z x) 1 (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) -1/720 (* (* y y) z) (* y y) (* 1/24 z) 1/24 (* -1/2 z)) |
| 5.0ms | y | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* y (/ z x)) (/ z x) 1 (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) -1/720 (* (* y y) z) (* y y) (* 1/24 z) 1/24 (* -1/2 z)) |
| 5.0ms | z | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* y (/ z x)) (/ z x) 1 (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) -1/720 (* (* y y) z) (* y y) (* 1/24 z) 1/24 (* -1/2 z)) |
| 4.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (cos y) y z (* (sin y) x) (sin y) x (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) x) y) z) (+ (* (* -1/2 y) z) x) (* -1/2 y) -1/2 (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (* z y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* y (/ z x)) (/ z x) 1 (+ (* x (sin y)) (* z (cos y))) (* z (cos y)) (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) -1/720 (* (* y y) z) (* y y) (* 1/24 z) 1/24 (* -1/2 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 3291 |
| 0 | 467 | 3112 |
| 1 | 2108 | 3108 |
| 0 | 9036 | 2982 |
| 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))) #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) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(fma.f64 #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)) y z) |
#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)) |
(*.f64 (fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 y (/.f64 z x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y (/.f64 z x)) |
(/.f64 z x) |
#s(literal 1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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 (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) |
#s(literal -1/720 binary64) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
(*.f64 #s(literal 1/24 binary64) z) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) 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 (* x y) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (* y z) x)))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (/ (+ x (* -1/2 (* y z))) x))) |
#s(approx (* y (/ z x)) #s(hole binary64 (/ (* y z) x))) |
#s(approx (/ z x) #s(hole binary64 (/ z x))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 x)) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (+ 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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) 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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 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 (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/2 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y 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) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* -1/2 z))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* 1/24 z))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))) |
#s(approx (* (* y y) z) #s(hole binary64 (* (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1/2 (* (pow y 2) z)))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* y (+ (* -1/2 (/ z x)) (/ 1 y))))) |
#s(approx (* z (cos y)) #s(hole binary64 (* z (cos y)))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1/720 (* (pow y 6) z)))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* -1/720 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* -1/720 (* (pow y 2) z)))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 y)))))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* z (+ 1/24 (* -1/720 (pow y 2)))))) |
#s(approx (* 1/24 z) #s(hole binary64 (* 1/24 z))) |
#s(approx (* -1/2 z) #s(hole binary64 (* -1/2 z))) |
#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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* z (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* z (+ (* -1/2 (/ y x)) (/ 1 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 (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) x) y) z) #s(hole binary64 (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* -1/2 y) z) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (* z y) -1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 z)))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24)))) 1))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) #s(hole binary64 (* -1 (* z (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) #s(hole binary64 (* -1 (* z (- (* 1/720 (pow y 2)) 1/24))))) |
| Outputs |
|---|
(/.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 (-.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 (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)))) |
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(fma.f64 #s(literal 1/24 binary64) z (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/24 binary64) z)) |
(fma.f64 z #s(literal 1/24 binary64) (*.f64 z (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(fma.f64 z #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) (*.f64 #s(literal 1/24 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) (*.f64 #s(literal 1/24 binary64) z)))) |
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) (*.f64 #s(literal -1/24 binary64) z)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) (*.f64 #s(literal 1/24 binary64) z))))) (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) (*.f64 #s(literal 1/24 binary64) z)))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) z) (*.f64 z (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z)) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z) (*.f64 #s(literal 1/24 binary64) z)) |
#s(literal -1/720 binary64) |
(*.f64 (*.f64 y y) z) |
(*.f64 z (*.f64 y y)) |
(*.f64 y (*.f64 z y)) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/24 binary64) z) |
(*.f64 z #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal -1/2 binary64) z) |
(*.f64 z #s(literal -1/2 binary64)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) |
#s(approx (* (sin y) x) (*.f64 (sin.f64 y) x)) |
#s(approx x x) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) |
#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 (* x y) (*.f64 x y)) |
#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 z y) #s(literal -1/2 binary64) x)) |
#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 z y) #s(literal -1/2 binary64) x)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) x)) |
#s(approx (* y (/ z x)) (*.f64 (/.f64 z x) y)) |
#s(approx (/ z x) (/.f64 z x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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) 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 (/.f64 z x) y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* z y) -1/2) x) x) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) x) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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) 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 (/.f64 z x) y)) #s(literal 1 binary64)))) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z x) y)) #s(literal 1 binary64)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z x) y)) #s(literal 1 binary64)))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) z) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 x y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 (*.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 (*.f64 y y) #s(literal -1/720 binary64) #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 (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (fma.f64 (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 (+ (* (cos y) z) (* (sin y) x)) z) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 x y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (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 z y) #s(literal -1/2 binary64) 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 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) 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 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) z) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (*.f64 #s(literal 1/24 binary64) z)) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z)) |
#s(approx (* (* y y) z) (*.f64 (*.f64 y y) z)) |
#s(approx (* y y) (*.f64 y y)) |
#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) 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 y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
#s(approx (* z (cos y)) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 6 binary64))) z)) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) z)))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) z))))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) z (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 z y) (/.f64 z (pow.f64 y #s(literal 6 binary64)))))))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) z)))) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) z))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/720 binary64)) z)) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) z)) (*.f64 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 (+ (* (+ (* (* 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 (+ (* (* 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 y) -1/2) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) (pow.f64 y #s(literal -1 binary64))))) |
#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 (+ (* (+ (* (* 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 (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z)) |
#s(approx (* 1/24 z) (*.f64 #s(literal 1/24 binary64) z)) |
#s(approx (* -1/2 z) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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) 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 (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) z #s(literal 1 binary64))) |
#s(approx (+ (* (cos y) 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) 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 (+ (* (+ (* (* 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) 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))) |
#s(approx (+ (* (* z y) -1/2) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) z))) |
#s(approx (+ (* (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (* y y)) z) (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (+ (* (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (* y y)) (* -1/2 z)) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) z))) |
#s(approx (+ (* -1/720 (* (* y y) z)) (* 1/24 z)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) z))) |
Compiled 14 571 to 1 799 computations (87.7% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 7 | 355 |
| Fresh | 5 | 8 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 355 | 21 | 376 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 81.6% | (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)) |
| 55.7% | (+.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)) | |
| ▶ | 55.5% | (+.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)) |
| ▶ | 55.8% | (+.f64 #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 (* z (cos y)) z)) |
| ▶ | 56.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 x y z)) |
| 89.8% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| ▶ | 90.1% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
| 46.2% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)) | |
| ✓ | 55.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
| 36.5% | #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)) | |
| ▶ | 31.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
| ✓ | 55.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 36.4% | #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)) | |
| 36.4% | #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)) | |
| 3.0% | #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)))) | |
| ✓ | 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) | |
| ✓ | 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 829 to 560 computations (32.4% saved)
| Inputs |
|---|
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 x y z)) |
(fma.f64 x 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)) |
(*.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))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
(fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
#s(literal -1/2 binary64) |
(+.f64 #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 (* z (cos y)) z)) |
#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)) |
(*.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) |
(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) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 y y) x) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
| 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 (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (+ (cos y) (/ (* x (sin y)) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x y) z) #s(hole binary64 z)) |
#s(approx (+ (* x y) z) #s(hole binary64 (+ z (* x 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 (+ (* (+ (* (* 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (* y z) x)))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (/ (+ x (* -1/2 (* y z))) x))) |
#s(approx (* (* (/ z x) y) -1/2) #s(hole binary64 (* -1/2 (/ (* y z) x)))) |
#s(approx (* (/ z x) y) #s(hole binary64 (/ (* y z) x))) |
#s(approx (/ z x) #s(hole binary64 (/ z x))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#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)) z) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (* x (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* x (+ y (/ z 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (+ 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)) z) #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 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ 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 (+ (* (+ (* (* 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))))) |
#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 (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 z)) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (+ 1 (/ (* x y) z)))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ x z)))))) |
#s(approx (+ (* x (/ (sin y) z)) (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 (+ (* 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 (* (+ (* -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 (+ (* (+ (* (* 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 (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* -1/6 x))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
#s(approx (* (+ (* x (/ (sin y) z)) (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 (+ (* x y) z) #s(hole binary64 (* y (+ x (/ z y))))) |
#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 (+ (* (+ (* (* 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* y (+ (* -1/2 (/ z x)) (/ 1 y))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* 1/120 (* x (pow y 5))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* 1/120 (* x (pow y 4))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* 1/120 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ z y))))))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))))) |
#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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 y)))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))))) |
#s(approx (+ (* x (/ (sin y) z)) (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 (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* z (+ 1 (/ (* x 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* z (+ (* -1/2 (/ y x)) (/ 1 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)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x y) z)) 1))))) |
#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)))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | x | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) x (/ (sin y) z) (sin y) y z (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* x y) z) (+ (* 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 y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* (* (/ z x) y) -1/2) (* (/ z x) y) (/ z x) -1/2 (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* (* y y) x) 1/120 (* -1/6 x)) |
| 5.0ms | y | @ | -inf | ((+ (* (cos y) z) (* (sin y) x)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) x (/ (sin y) z) (sin y) y z (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* x y) z) (+ (* 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 y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* (* (/ z x) y) -1/2) (* (/ z x) y) (/ z x) -1/2 (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* (* y y) x) 1/120 (* -1/6 x)) |
| 4.0ms | y | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) x (/ (sin y) z) (sin y) y z (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* x y) z) (+ (* 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 y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* (* (/ z x) y) -1/2) (* (/ z x) y) (/ z x) -1/2 (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* (* y y) x) 1/120 (* -1/6 x)) |
| 4.0ms | x | @ | inf | ((+ (* (cos y) z) (* (sin y) x)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) x (/ (sin y) z) (sin y) y z (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* x y) z) (+ (* 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 y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* (* (/ z x) y) -1/2) (* (/ z x) y) (/ z x) -1/2 (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* (* y y) x) 1/120 (* -1/6 x)) |
| 4.0ms | x | @ | 0 | ((+ (* (cos y) z) (* (sin y) x)) (* (+ (* x (/ (sin y) z)) (cos y)) z) (+ (* x (/ (sin y) z)) (cos y)) x (/ (sin y) z) (sin y) y z (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* x y) z) (+ (* 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 y) -1/2) x) y) z) (+ (* (* z y) -1/2) x) (* (+ (* (* y (/ z x)) -1/2) 1) x) (+ (* (* y (/ z x)) -1/2) 1) (* (* (/ z x) y) -1/2) (* (/ z x) y) (/ z x) -1/2 (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* (* y y) x) 1/120 (* -1/6 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 3532 |
| 0 | 557 | 3439 |
| 1 | 2600 | 3428 |
| 0 | 9456 | 3237 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(cos.f64 y) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 x y z)) |
(fma.f64 x 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)) |
(*.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))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
(fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z) |
#s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
#s(literal -1/2 binary64) |
(+.f64 #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 (* z (cos y)) z)) |
#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)) |
(*.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) |
(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) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 y y) x) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) x) |
#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 (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (* z (cos y)))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ (* x (sin y)) (* z (cos y))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (+ (cos y) (/ (* x (sin y)) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x y) z) #s(hole binary64 z)) |
#s(approx (+ (* x y) z) #s(hole binary64 (+ z (* x 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 (+ (* (+ (* (* 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1/2 (* y z)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (+ x (* -1/2 (* y z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (* y z) x)))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (/ (+ x (* -1/2 (* y z))) x))) |
#s(approx (* (* (/ z x) y) -1/2) #s(hole binary64 (* -1/2 (/ (* y z) x)))) |
#s(approx (* (/ z x) y) #s(hole binary64 (/ (* y z) x))) |
#s(approx (/ z x) #s(hole binary64 (/ z x))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#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)) z) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (* x (+ (sin y) (/ (* z (cos y)) x))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (/ (* x (sin y)) z))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (* x (+ (/ (cos y) x) (/ (sin y) z))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* x (+ y (/ z 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 (/ (* y z) x)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (+ 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)) z) #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 (/ (cos y) x)) (* -1 (/ (sin y) z))))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ 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 (+ (* (+ (* (* 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* -1 (* x (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))))) |
#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 (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 z)) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ z (* x y)))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* -1/2 (* y z))))))) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) #s(hole binary64 (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (+ 1 (/ (* x y) z)))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ x z)))))) |
#s(approx (+ (* x (/ (sin y) z)) (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 (+ (* 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 (* (+ (* -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 (+ (* (+ (* (* 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 (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* -1/6 x))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
#s(approx (* (+ (* x (/ (sin y) z)) (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 (+ (* x y) z) #s(hole binary64 (* y (+ x (/ z y))))) |
#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 (+ (* (+ (* (* 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* y (+ (* -1/2 z) (/ x y))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* y (+ (* -1/2 (/ z x)) (/ 1 y))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* 1/120 (* x (pow y 5))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* 1/120 (* x (pow y 4))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* 1/120 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ z y))))))) |
#s(approx (* (+ (* -1/6 (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))))) |
#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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ z x)) (/ 1 y)))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))))) |
#s(approx (+ (* x (/ (sin y) z)) (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 (+ (* (cos y) z) (* (sin y) x)) #s(hole binary64 (* z (+ (cos y) (/ (* x (sin y)) z))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* z (+ 1 (/ (* x 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* z (+ (* -1/2 y) (/ x z))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* z (+ (* -1/2 (/ y x)) (/ 1 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)) z) #s(hole binary64 (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))))) |
#s(approx (+ (* x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x y) z)) 1))))) |
#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)))))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ y x)) (/ 1 z)))))) |
| 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 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 z (cos.f64 y)) (*.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))) |
(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))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)) |
(+.f64 (*.f64 z (cos.f64 y)) (*.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)))))) |
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#s(approx (+ (* (* y (/ z x)) -1/2) 1) (fma.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#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)) z) (*.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) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))))) |
#s(approx (+ (* x y) z) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z x) 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 (/.f64 z x) y)) #s(literal 1 binary64)))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z x) y)) #s(literal 1 binary64)))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 (fma.f64 #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) x) 1/120) (* -1/6 x)) (* y y)) x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y)) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 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 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) z) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 x y z)) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x y) 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.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 #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 (+ (* 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 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) 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 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.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 (* (+ (* -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 (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 (+ (* (+ (* (* 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 (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 x y)) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) x) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))) |
#s(approx (* (+ (* x (/ (sin y) z)) (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 (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) 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 z (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 (+ (* (* z y) -1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) y)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)))) |
#s(approx (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) |
#s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) (*.f64 y y))) |
#s(approx (+ (* x y) z) (*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 z y) x)))) |
#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 (+ (* (+ (* (* 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 (/.f64 z y) 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) (pow.f64 y #s(literal -1 binary64))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (neg.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) x)) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (* y y)) x) y) (neg.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) x))) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx (+ (* x (/ (sin y) z)) (cos y)) (/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) 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 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)) |
#s(approx (+ (* x y) z) (*.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) z)) |
#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 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 (* (+ (* (* y (/ z x)) -1/2) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) z)) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) z #s(literal 1 binary64))) |
#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 (* (+ (* x (/ (sin y) z)) (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 (+ (* x y) z) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)) 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 (+ (* (+ (* (* 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))) |
#s(approx (* (+ (* (* y (/ z x)) -1/2) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 x) z)) z))) |
#s(approx (+ (* (* y (/ z x)) -1/2) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) z))) |
Compiled 14 612 to 1 974 computations (86.5% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 11 | 387 |
| Fresh | 1 | 9 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 380 | 28 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 81.6% | (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)) |
| 55.6% | (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)) | |
| 55.8% | (+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) | |
| 55.8% | (+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #s(approx (* z (cos y)) z)) | |
| ✓ | 56.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 x y z)) |
| 89.8% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) | |
| 72.0% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))) z)) | |
| 76.6% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)) | |
| 68.4% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)) | |
| 46.2% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)) | |
| 47.1% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z)) | |
| 36.5% | #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) | |
| 45.3% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| 51.0% | #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) | |
| ✓ | 55.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
| 36.5% | #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)) | |
| 34.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) | |
| ✓ | 31.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
| ✓ | 55.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 36.4% | #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)) | |
| 36.4% | #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)) | |
| 3.0% | #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)))) | |
| ✓ | 21.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* z y) -1/2) x) y) z) (*.f64 x y))) |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 36.4% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) | |
| ✓ | 38.3% | #s(approx (+ (* x (sin y)) (* z (cos y))) z) |
Compiled 1 779 to 703 computations (60.5% 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))) z)) |
(+.f64 #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)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 20.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | z |
| 13.0ms | x |
| 11.0ms | y |
| 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))) z)) |
(+.f64 #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)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
4 calls:
| 13.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| 10.0ms | z |
| 10.0ms | 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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 (+ (* (cos y) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) #s(approx (cos y) #s(literal 1 binary64))) z)) |
(+.f64 #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)) (*.f64 z (cos.f64 y))) |
| 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)) |
(+.f64 (*.f64 x (sin.f64 y)) #s(approx (* z (cos y)) z)) |
4 calls:
| 12.0ms | y |
| 9.0ms | x |
| 9.0ms | z |
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 90.4% | 3 | x |
| 81.6% | 1 | y |
| 90.0% | 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x #s(approx (* z (cos 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)) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 3 | x |
Compiled 1 to 3 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.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)) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) 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))) (*.f64 (sin.f64 y) x)) |
4 calls:
| 12.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| 8.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 84.0% | 5 | y |
| 75.1% | 3 | z |
| 79.0% | 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 11.0ms | y |
| 8.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 3 | z |
| 69.2% | 3 | x |
| 74.9% | 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 (+ (* (cos y) z) (* (sin y) x)) (fma.f64 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))) (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 (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 (*.f64 z y) #s(literal -1/2 binary64) x) y z)) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z x) y) x))) |
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* x y) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(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 (*.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))) (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) z) (* (sin y) x)) (*.f64 #s(approx (+ (* x (/ (sin y) z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) 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 #s(literal 1/24 binary64) (*.f64 (*.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) #s(literal 1/24 binary64)) z (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (*.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* z y) -1/2) x) (*.f64 #s(approx (+ (* (* y (/ z x)) -1/2) 1) (/.f64 (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) x)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #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)) y z)) |
(+.f64 #s(approx (* x (sin y)) (*.f64 (fma.f64 #s(approx (+ (* (* (* y y) x) 1/120) (* -1/6 x)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) (*.f64 y y) x) y)) #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 (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 (* 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 (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) z) y) y (*.f64 #s(literal -1/2 binary64) z)) y) y z))) |
(+.f64 #s(approx (* x (sin y)) (fma.f64 y x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y)) y))) #s(approx (* z (cos y)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.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))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 11.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 56.4% | 1 | z |
| 56.4% | 1 | x |
| 56.4% | 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))) 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))) z) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 2 | y |
| 42.2% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 46.2% | 3 | z |
| 45.9% | 3 | x |
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) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | y |
| 38.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 38.3% | 1 | x |
| 38.3% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 6.83773145640014e-47 | 9.877043042526912e-35 |
| 18.0ms | -3.211968096658508e-24 | -1.2233925295331718e-26 |
| 22.0ms | 288× | 0 | valid |
Compiled 454 to 402 computations (11.5% saved)
ival-sin: 6.0ms (39.4% of total)ival-cos: 5.0ms (32.8% of total)ival-mult!: 3.0ms (19.7% of total)ival-add!: 1.0ms (6.6% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.83773145640014e-47 | 9.877043042526912e-35 |
| 1.0ms | -3.211968096658508e-24 | -1.2233925295331718e-26 |
Compiled 444 to 392 computations (11.7% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.8622408176024162e+118 | 2.218195350882357e+124 |
| 21.0ms | 0.0017117459513325722 | 697370127.0160053 |
| 12.0ms | -0.841015938245429 | -0.0004512387256818953 |
| 24.0ms | -2.449085252371375e+56 | -2.2576814950819724e+51 |
| 55.0ms | 576× | 0 | valid |
Compiled 1 326 to 1 022 computations (22.9% saved)
ival-sin: 14.0ms (34.1% of total)ival-mult!: 14.0ms (34.1% of total)ival-cos: 12.0ms (29.2% of total)ival-add!: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0017117459513325722 | 697370127.0160053 |
| 1.0ms | -0.841015938245429 | -0.0004512387256818953 |
Compiled 822 to 590 computations (28.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.2502677752451786e-97 | 5.168866719274129e-97 |
| 15.0ms | -2.811320887131149e-133 | -4.1982075575188665e-138 |
| 14.0ms | 192× | 0 | valid |
Compiled 444 to 350 computations (21.2% saved)
ival-sin: 4.0ms (42.4% of total)ival-cos: 3.0ms (31.8% of total)ival-mult!: 2.0ms (21.2% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | fuel |
Compiled 351 to 71 computations (79.8% saved)
Compiled 360 to 79 computations (78.1% saved)
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