
Time bar (total: 9.8s)
| 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)
| 869.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 258.0ms (39.6% of total)ival-cos: 184.0ms (28.2% of total)ival-add: 117.0ms (17.9% of total)ival-mult: 83.0ms (12.7% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 334× | sub-neg |
| 294× | cancel-sign-sub-inv |
| 286× | associate-+l- |
| 272× | distribute-rgt-in |
| 236× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 92 | 82 |
| 2 | 234 | 81 |
| 3 | 588 | 81 |
| 4 | 1029 | 81 |
| 5 | 1414 | 81 |
| 6 | 1696 | 81 |
| 7 | 1888 | 81 |
| 8 | 1995 | 81 |
| 9 | 2055 | 81 |
| 10 | 2069 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 25 | 9 |
| 3 | 27 | 9 |
| 0 | 27 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
| 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 |
| 57.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 11.0ms (31.9% of total)ival-sin: 11.0ms (31.9% of total)ival-add: 7.0ms (20.3% of total)ival-mult: 5.0ms (14.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 24× | lower-+.f32 |
| 20× | lower-+.f64 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 18 | 24 |
| 2 | 25 | 24 |
| 3 | 27 | 24 |
| 0 | 27 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 280.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-mult: 255.0ms (93.8% of total)ival-cos: 8.0ms (2.9% of total)ival-sin: 6.0ms (2.2% of total)ival-add: 2.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))> |
#<alt (+.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (* z (cos y)) |
| 0.0ms | y | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | z | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 0.0ms | y | @ | -inf | (+ (+ x (sin y)) (* z (cos y))) |
| 1× | egg-herbie |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 3 160× | lower-*.f64 |
| 3 160× | lower-*.f32 |
| 2 322× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 z (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
| 1× | batch-egg-rewrite |
| 4 470× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 4 404× | lower-fma.f64 |
| 4 404× | lower-fma.f32 |
| 2 454× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 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)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))))) |
(-.f64 (fma.f64 z (cos.f64 y) (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x)) (*.f64 z (cos.f64 y))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 (+.f64 x (sin.f64 y)) z)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x))) |
(fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(neg.f64 (neg.f64 (+.f64 x (sin.f64 y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) |
(/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (-.f64 (sin.f64 y) x)) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))) (neg.f64 (-.f64 (sin.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (*.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (sin.f64 y)) (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))) |
(*.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(sin.f64 y) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
Compiled 6 709 to 592 computations (91.2% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 14 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 260 | 14 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 69.4% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) | |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 37.3% | (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x))) | |
| 56.3% | (/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) | |
| 56.1% | (-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) | |
| 53.2% | (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) | |
| ▶ | 56.2% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
| ▶ | 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| ▶ | 56.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
| 57.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| 59.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) | |
| ▶ | 70.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 62.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) | |
| 44.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
Compiled 628 to 302 computations (51.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 21184 | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
| ✓ | cost-diff | 0 | (+.f64 z x) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 11 474× | lower-fma.f32 |
| 11 464× | lower-fma.f64 |
| 3 220× | lower-*.f32 |
| 3 214× | lower-*.f64 |
| 2 032× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 209 |
| 0 | 52 | 191 |
| 1 | 95 | 191 |
| 2 | 204 | 191 |
| 3 | 541 | 191 |
| 4 | 1645 | 191 |
| 5 | 4796 | 191 |
| 0 | 8136 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
y |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
y |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
| ✓ | accuracy | 99.7% | (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.8% | (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) |
| ✓ | accuracy | 56.6% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | accuracy | 57.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 56.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 70.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | accuracy | 100.0% | (+.f64 x (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 65.0ms | 254× | 0 | valid |
| 3.0ms | 2× | 3 | valid |
Compiled 200 to 31 computations (84.5% saved)
ival-mult: 14.0ms (28.5% of total)ival-add: 8.0ms (16.3% of total)ival-cos: 7.0ms (14.3% of total)const: 6.0ms (12.2% of total)ival-sin: 5.0ms (10.2% of total)ival-pow2: 3.0ms (6.1% of total)ival-div: 2.0ms (4.1% of total)ival-sub: 2.0ms (4.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt (+.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))> |
#<alt (+.f64 z x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))> |
#<alt (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))> |
#<alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))> |
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))> |
#<alt (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))> |
#<alt (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))> |
| Outputs |
|---|
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
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#<alt z> |
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#<alt x> |
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#<alt (sin y)> |
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#<alt z> |
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#<alt (- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* z (- (+ (* -1 (/ (pow (cos y) 2) (- x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (pow (cos y) 2) (- x (sin y)))) (* -1 (/ (* (cos y) (- (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (- x (sin y))))))) (- x (sin y)))) (* -1 (/ (* (cos y) (- (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (- x (sin y))))))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (/ (pow x 2) (- x (sin y)))) (/ (pow (sin y) 2) (- x (sin y))))> |
#<alt (* z (cos y))> |
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#<alt (* z (- (+ (cos y) (+ (* -1 (/ (- (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* 2 (/ (sin y) z)) (/ (* (- x (sin y)) (- (* -1 (/ (- (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (* (pow z 2) (cos y)))) (* -1 (/ (- x (sin y)) z)))))> |
#<alt (* z (cos y))> |
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#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (- x (sin y)) (- (/ (pow x 2) (cos y)) (+ (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y)) (/ (pow (sin y) 2) (cos y))))) (* z (cos y))) (/ (pow x 2) (cos y))) (+ (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y)) (/ (pow (sin y) 2) (cos y)))) z)) (* 2 (sin y))) (* -1 (- x (sin y)))) z)))))> |
#<alt (/ (- (pow x 2) (pow z 2)) (- x z))> |
#<alt (- (+ (* y (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (/ (pow x 2) (- x z))) (/ (pow z 2) (- x z)))> |
#<alt (- (+ (* y (- (+ (* -2 (/ z (- x z))) (* y (- (* -1 (/ (+ 1 (* -1 (pow z 2))) (- x z))) (+ (* -1 (/ (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2)))) (- x z))) (* 1/2 (/ (* z (- (pow x 2) (pow z 2))) (pow (- x z) 2))))))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (/ (pow x 2) (- x z))) (/ (pow z 2) (- x z)))> |
#<alt (- (+ (* y (- (+ (* -2 (/ z (- x z))) (* y (- (+ (* -1 (/ (+ 1 (* -1 (pow z 2))) (- x z))) (* y (- (* -1 (/ (+ (* -1 z) (* -1/3 z)) (- x z))) (+ (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (pow z 2))) (- x z))) (+ (* -1 (/ (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2)))) (- x z))) (* 1/2 (/ (* z (- (pow x 2) (pow z 2))) (pow (- x z) 2))))) (- x z))) (+ (* 1/6 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))) (* 1/2 (/ (* z (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (- x z)))))))) (+ (* -1 (/ (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2)))) (- x z))) (* 1/2 (/ (* z (- (pow x 2) (pow z 2))) (pow (- x z) 2))))))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (/ (pow x 2) (- x z))) (/ (pow z 2) (- x z)))> |
#<alt (/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y)))))> |
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#<alt (/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y)))))> |
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#<alt (* -1 (pow (+ (sin y) (* z (cos y))) 2))> |
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#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (pow x 2)> |
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#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))> |
#<alt (- (pow x 2) (pow (sin y) 2))> |
#<alt (- (+ (* -2 (* z (* (cos y) (sin y)))) (pow x 2)) (pow (sin y) 2))> |
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#<alt (- (+ (* z (- (* -1 (* z (pow (cos y) 2))) (* 2 (* (cos y) (sin y))))) (pow x 2)) (pow (sin y) 2))> |
#<alt (* -1 (* (pow z 2) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (- (* -2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2)))))> |
#<alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2)))))> |
#<alt (* -1 (* (pow z 2) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (- (* -2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (pow (sin y) 2)) z)) (* -2 (* (cos y) (sin y)))) z)) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (pow (sin y) 2)) z)) (* -2 (* (cos y) (sin y)))) z)) (pow (cos y) 2)))> |
#<alt (- (pow x 2) (pow z 2))> |
#<alt (- (+ (* -2 (* y z)) (pow x 2)) (pow z 2))> |
#<alt (- (+ (* y (- (* -1 (* y (+ 1 (* -1 (pow z 2))))) (* 2 z))) (pow x 2)) (pow z 2))> |
#<alt (- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 z) (* -1/3 z)))) (+ 1 (* -1 (pow z 2))))) (* 2 z))) (pow x 2)) (pow z 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow (sin y) 2)> |
#<alt (+ (* 2 (* z (* (cos y) (sin y)))) (pow (sin y) 2))> |
#<alt (+ (* z (+ (* 2 (* (cos y) (sin y))) (* z (pow (cos y) 2)))) (pow (sin y) 2))> |
#<alt (+ (* z (+ (* 2 (* (cos y) (sin y))) (* z (pow (cos y) 2)))) (pow (sin y) 2))> |
#<alt (* (pow z 2) (pow (cos y) 2))> |
#<alt (* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2))))> |
#<alt (* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2))))> |
#<alt (* (pow z 2) (pow (cos y) 2))> |
#<alt (* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -2 (* (cos y) (sin y))) (* -1 (/ (pow (sin y) 2) z))) z)) (pow (cos y) 2)))> |
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -2 (* (cos y) (sin y))) (* -1 (/ (pow (sin y) 2) z))) z)) (pow (cos y) 2)))> |
#<alt (pow z 2)> |
#<alt (+ (* 2 (* y z)) (pow z 2))> |
#<alt (+ (* y (+ (* 2 z) (* y (+ 1 (* -1 (pow z 2)))))) (pow z 2))> |
#<alt (+ (* y (+ (* 2 z) (* y (+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 z) (* -1/3 z)))))))) (pow z 2))> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (pow (+ (sin y) (* z (cos y))) 2)> |
#<alt (/ -1 (+ (sin y) (* z (cos y))))> |
#<alt (- (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))> |
#<alt (- (* x (- (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 3))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))> |
#<alt (- (* x (- (* x (- (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (* -1 (+ (sin y) (* z (cos y))))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) x)) (pow (+ (sin y) (* z (cos y))) 2)) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1) x))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (+ (/ 1 (- x (sin y))) (/ (* z (cos y)) (pow (- x (sin y)) 2)))> |
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (- x (sin y)) 3)) (* -1 (/ (cos y) (pow (- x (sin y)) 2))))) (/ 1 (- x (sin y))))> |
#<alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (pow (- x (sin y)) 4)) (* -1 (/ (pow (cos y) 2) (pow (- x (sin y)) 3))))) (* -1 (/ (cos y) (pow (- x (sin y)) 2))))) (/ 1 (- x (sin y))))> |
#<alt (/ -1 (* z (cos y)))> |
#<alt (/ (- (/ (sin y) (* z (pow (cos y) 2))) (+ (/ 1 (cos y)) (/ x (* z (pow (cos y) 2))))) z)> |
#<alt (/ (- (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (/ x (* z (pow (cos y) 2))))) z)> |
#<alt (/ (- (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (pow (- x (sin y)) 2) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (/ x (* z (pow (cos y) 2)))))) z)> |
#<alt (/ -1 (* z (cos y)))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2))) z)) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (/ (sin y) (pow (cos y) 2)) (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* z (cos y)))) (/ x (pow (cos y) 2))) z)) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- x (sin y)) 2) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* z (pow (cos y) 2)))) (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (cos y))) z)) (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))) z)) (/ 1 (cos y))) z))> |
#<alt (/ 1 (- x z))> |
#<alt (+ (/ 1 (- x z)) (/ y (pow (- x z) 2)))> |
#<alt (+ (* y (+ (* y (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z)))> |
#<alt (+ (* y (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2)))) (- x z))) (+ (* 1/6 (/ 1 (pow (- x z) 2))) (* 1/2 (/ z (pow (- x z) 3))))))) (/ 1 (pow (- x z) 3))) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z)))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
#<alt (/ 1 (- x (+ (sin y) (* z (cos y)))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (- (* x x) (pow (+ (* z (cos y)) (sin y)) 2)) |
| 1.0ms | z | @ | inf | (/ 1 (- x (+ (* z (cos y)) (sin y)))) |
| 1.0ms | z | @ | -inf | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | z | @ | 0 | (* (- (* x x) (pow (+ (* z (cos y)) (sin y)) 2)) (/ 1 (- x (+ (* z (cos y)) (sin y))))) |
| 1.0ms | y | @ | inf | (* (- (* x x) (pow (+ (* z (cos y)) (sin y)) 2)) (/ 1 (- x (+ (* z (cos y)) (sin y))))) |
| 1× | egg-herbie |
| 7 112× | lower-fma.f64 |
| 7 112× | lower-fma.f32 |
| 5 148× | lower-*.f64 |
| 5 148× | lower-*.f32 |
| 4 466× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 6339 |
| 1 | 1928 | 6159 |
| 2 | 6251 | 6081 |
| 0 | 8408 | 5636 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ (- (pow x 2) (pow (sin y) 2)) (- x (sin y))) |
(- (+ (* z (- (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (/ (pow x 2) (- x (sin y)))) (/ (pow (sin y) 2) (- x (sin y)))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* z (- (* -1 (/ (pow (cos y) 2) (- x (sin y)))) (* -1 (/ (* (cos y) (- (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (- x (sin y))))))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (/ (pow x 2) (- x (sin y)))) (/ (pow (sin y) 2) (- x (sin y)))) |
(- (+ (* z (- (+ (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* z (- (+ (* -1 (/ (pow (cos y) 2) (- x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (pow (cos y) 2) (- x (sin y)))) (* -1 (/ (* (cos y) (- (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (- x (sin y))))))) (- x (sin y)))) (* -1 (/ (* (cos y) (- (* -2 (/ (* (cos y) (sin y)) (- x (sin y)))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (- x (sin y))))))) (* -1 (/ (* (cos y) (- (pow x 2) (pow (sin y) 2))) (pow (- x (sin y)) 2))))) (/ (pow x 2) (- x (sin y)))) (/ (pow (sin y) 2) (- x (sin y)))) |
(* z (cos y)) |
(* z (- (+ (cos y) (* 2 (/ (sin y) z))) (* -1 (/ (- x (sin y)) z)))) |
(* z (- (+ (cos y) (+ (* -1 (/ (- (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* 2 (/ (sin y) z)))) (+ (* -1 (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (* (pow z 2) (cos y)))) (* -1 (/ (- x (sin y)) z))))) |
(* z (- (+ (cos y) (+ (* -1 (/ (- (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (* 2 (/ (sin y) z)) (/ (* (- x (sin y)) (- (* -1 (/ (- (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (* (pow z 2) (cos y)))) (* -1 (/ (- x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (* 2 (sin y)) (* -1 (- x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 2) (cos y)) (+ (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y)) (/ (pow (sin y) 2) (cos y)))) z)) (* 2 (sin y))) (* -1 (- x (sin y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (- x (sin y)) (- (/ (pow x 2) (cos y)) (+ (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y)) (/ (pow (sin y) 2) (cos y))))) (* z (cos y))) (/ (pow x 2) (cos y))) (+ (/ (* (- x (sin y)) (- (* 2 (sin y)) (* -1 (- x (sin y))))) (cos y)) (/ (pow (sin y) 2) (cos y)))) z)) (* 2 (sin y))) (* -1 (- x (sin y)))) z))))) |
(/ (- (pow x 2) (pow z 2)) (- x z)) |
(- (+ (* y (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (/ (pow x 2) (- x z))) (/ (pow z 2) (- x z))) |
(- (+ (* y (- (+ (* -2 (/ z (- x z))) (* y (- (* -1 (/ (+ 1 (* -1 (pow z 2))) (- x z))) (+ (* -1 (/ (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2)))) (- x z))) (* 1/2 (/ (* z (- (pow x 2) (pow z 2))) (pow (- x z) 2))))))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (/ (pow x 2) (- x z))) (/ (pow z 2) (- x z))) |
(- (+ (* y (- (+ (* -2 (/ z (- x z))) (* y (- (+ (* -1 (/ (+ 1 (* -1 (pow z 2))) (- x z))) (* y (- (* -1 (/ (+ (* -1 z) (* -1/3 z)) (- x z))) (+ (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (pow z 2))) (- x z))) (+ (* -1 (/ (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2)))) (- x z))) (* 1/2 (/ (* z (- (pow x 2) (pow z 2))) (pow (- x z) 2))))) (- x z))) (+ (* 1/6 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))) (* 1/2 (/ (* z (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (- x z)))))))) (+ (* -1 (/ (- (* -2 (/ z (- x z))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2)))) (- x z))) (* 1/2 (/ (* z (- (pow x 2) (pow z 2))) (pow (- x z) 2))))))) (* -1 (/ (- (pow x 2) (pow z 2)) (pow (- x z) 2))))) (/ (pow x 2) (- x z))) (/ (pow z 2) (- x z))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(/ (- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) (- x (+ (sin y) (* z (cos y))))) |
(* -1 (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(- (pow x 2) (pow (sin y) 2)) |
(- (+ (* -2 (* z (* (cos y) (sin y)))) (pow x 2)) (pow (sin y) 2)) |
(- (+ (* z (- (* -1 (* z (pow (cos y) 2))) (* 2 (* (cos y) (sin y))))) (pow x 2)) (pow (sin y) 2)) |
(- (+ (* z (- (* -1 (* z (pow (cos y) 2))) (* 2 (* (cos y) (sin y))))) (pow x 2)) (pow (sin y) 2)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (* -2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2))))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2))))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(* (pow z 2) (- (* -2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2))) |
(* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (pow (sin y) 2)) z)) (* -2 (* (cos y) (sin y)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (pow (sin y) 2)) z)) (* -2 (* (cos y) (sin y)))) z)) (pow (cos y) 2))) |
(- (pow x 2) (pow z 2)) |
(- (+ (* -2 (* y z)) (pow x 2)) (pow z 2)) |
(- (+ (* y (- (* -1 (* y (+ 1 (* -1 (pow z 2))))) (* 2 z))) (pow x 2)) (pow z 2)) |
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -1 z) (* -1/3 z)))) (+ 1 (* -1 (pow z 2))))) (* 2 z))) (pow x 2)) (pow z 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(- (pow x 2) (pow (+ (sin y) (* z (cos y))) 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow (sin y) 2) |
(+ (* 2 (* z (* (cos y) (sin y)))) (pow (sin y) 2)) |
(+ (* z (+ (* 2 (* (cos y) (sin y))) (* z (pow (cos y) 2)))) (pow (sin y) 2)) |
(+ (* z (+ (* 2 (* (cos y) (sin y))) (* z (pow (cos y) 2)))) (pow (sin y) 2)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2)))) |
(* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (+ (/ (pow (sin y) 2) (pow z 2)) (pow (cos y) 2)))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (* 2 (/ (* (cos y) (sin y)) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* (cos y) (sin y))) (* -1 (/ (pow (sin y) 2) z))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* (cos y) (sin y))) (* -1 (/ (pow (sin y) 2) z))) z)) (pow (cos y) 2))) |
(pow z 2) |
(+ (* 2 (* y z)) (pow z 2)) |
(+ (* y (+ (* 2 z) (* y (+ 1 (* -1 (pow z 2)))))) (pow z 2)) |
(+ (* y (+ (* 2 z) (* y (+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 z) (* -1/3 z)))))))) (pow z 2)) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(pow (+ (sin y) (* z (cos y))) 2) |
(/ -1 (+ (sin y) (* z (cos y)))) |
(- (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(- (* x (- (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 3))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(- (* x (- (* x (- (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(/ 1 x) |
(/ (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (* -1 (+ (sin y) (* z (cos y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) x)) (pow (+ (sin y) (* z (cos y))) 2)) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1) x)) |
(/ 1 (- x (sin y))) |
(+ (/ 1 (- x (sin y))) (/ (* z (cos y)) (pow (- x (sin y)) 2))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (- x (sin y)) 3)) (* -1 (/ (cos y) (pow (- x (sin y)) 2))))) (/ 1 (- x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (pow (- x (sin y)) 4)) (* -1 (/ (pow (cos y) 2) (pow (- x (sin y)) 3))))) (* -1 (/ (cos y) (pow (- x (sin y)) 2))))) (/ 1 (- x (sin y)))) |
(/ -1 (* z (cos y))) |
(/ (- (/ (sin y) (* z (pow (cos y) 2))) (+ (/ 1 (cos y)) (/ x (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (/ x (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (pow (- x (sin y)) 2) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1 (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (/ x (* z (pow (cos y) 2)))))) z) |
(/ -1 (* z (cos y))) |
(* -1 (/ (+ (* -1 (/ (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (/ (sin y) (pow (cos y) 2)) (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* z (cos y)))) (/ x (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- x (sin y)) 2) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (* z (pow (cos y) 2)))) (/ (* (- x (sin y)) (- (/ (sin y) (pow (cos y) 2)) (/ x (pow (cos y) 2)))) (cos y))) z)) (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/ 1 (- x z)) |
(+ (/ 1 (- x z)) (/ y (pow (- x z) 2))) |
(+ (* y (+ (* y (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z))) |
(+ (* y (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2)))) (- x z))) (+ (* 1/6 (/ 1 (pow (- x z) 2))) (* 1/2 (/ z (pow (- x z) 3))))))) (/ 1 (pow (- x z) 3))) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
| Outputs |
|---|
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 (+.f64 x z) y) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 z (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
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(+ (* y (+ (* y (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(+ (* y (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2)))) (- x z))) (+ (* 1/6 (/ 1 (pow (- x z) 2))) (* 1/2 (/ z (pow (- x z) 3))))))) (/ 1 (pow (- x z) 3))) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z))) |
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (-.f64 x z))) (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/ 1 (- x (+ (sin y) (* z (cos y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
| 1× | batch-egg-rewrite |
| 4 634× | lower-fma.f32 |
| 4 624× | lower-fma.f64 |
| 4 426× | lower-*.f32 |
| 4 420× | lower-*.f64 |
| 4 358× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 0 | 52 | 145 |
| 1 | 224 | 145 |
| 2 | 1869 | 145 |
| 0 | 8654 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 x x) |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
| Outputs |
|---|
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) (*.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 x x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 x x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (*.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) x) |
(fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x) |
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) x) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (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 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 6 binary64))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 x x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (sin.f64 y)) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (sin.f64 y))) (*.f64 (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (*.f64 (cos.f64 y) z)) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y)))) (*.f64 (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y)))) (*.f64 (*.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (sin.f64 y))))))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(*.f64 (neg.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) (neg.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))))) |
(pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(*.f64 (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) |
Compiled 49 070 to 2 526 computations (94.9% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 352 | 23 | 1 375 |
| Fresh | 7 | 2 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 361 | 28 | 1 389 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| ▶ | 99.7% | (*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
| 29.7% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x))))) | |
| 30.7% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))))) | |
| 23.1% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) #s(approx (/ 1 (- x (+ (* z (cos y)) (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))) | |
| 22.8% | (*.f64 #s(approx (- (* x x) (pow (+ (* z (cos y)) (sin y)) 2)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| ✓ | 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 56.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) | |
| ▶ | 53.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
| ▶ | 85.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
| 33.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))) | |
| 36.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) | |
| 36.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) | |
| 35.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) | |
| 57.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 70.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ▶ | 20.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
| 36.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| 44.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| 85.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))) | |
| 30.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) | |
| ▶ | 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| 16.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) | |
| 27.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) | |
| 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) | |
| 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
Compiled 1 002 to 519 computations (48.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
| ✓ | cost-diff | 1600 | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| ✓ | cost-diff | 0 | (*.f64 z z) |
| ✓ | cost-diff | 0 | (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
| ✓ | cost-diff | 0 | (+.f64 z y) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| ✓ | cost-diff | 0 | (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| ✓ | cost-diff | 320 | (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
| ✓ | cost-diff | 384 | (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
| ✓ | cost-diff | 55808 | (*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
| 11 554× | lower-fma.f32 |
| 11 542× | lower-fma.f64 |
| 3 656× | lower-*.f32 |
| 3 636× | lower-*.f64 |
| 3 422× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 459 |
| 0 | 90 | 519 |
| 1 | 172 | 503 |
| 2 | 333 | 395 |
| 3 | 875 | 384 |
| 4 | 4817 | 384 |
| 0 | 9033 | 378 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
(*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(*.f64 (cos.f64 y) z) |
(+.f64 x (sin.f64 y)) |
(/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x)) |
y |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
z |
(*.f64 z z) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
#s(literal 1 binary64) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
(*.f64 x (-.f64 x z)) |
(-.f64 x z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(*.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
(*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(*.f64 (cos.f64 y) z) |
(+.f64 x (sin.f64 y)) |
(/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 x z))) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x)) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 x z)) |
y |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
z |
(*.f64 z z) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
#s(literal 1 binary64) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
(fma.f64 x x (*.f64 z (-.f64 z x))) |
(*.f64 x (-.f64 x z)) |
(-.f64 x z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) x) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 y) x) |
| ✓ | accuracy | 85.9% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| ✓ | accuracy | 97.4% | (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 97.3% | (fma.f64 z z (*.f64 x (-.f64 x z))) |
| ✓ | accuracy | 70.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
| ✓ | accuracy | 34.2% | (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 56.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
| ✓ | accuracy | 40.6% | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 z y) |
| ✓ | accuracy | 58.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| ✓ | accuracy | 52.8% | #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) z (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 99.8% | (*.f64 (cos.f64 y) z) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
| 102.0ms | 254× | 0 | valid |
| 3.0ms | 1× | 5 | exit |
| 2.0ms | 1× | 3 | valid |
Compiled 393 to 50 computations (87.3% saved)
ival-mult: 29.0ms (38.2% of total)ival-add: 15.0ms (19.8% of total)ival-div: 10.0ms (13.2% of total)ival-cos: 8.0ms (10.5% of total)ival-sin: 5.0ms (6.6% of total)const: 4.0ms (5.3% of total)ival-sub: 3.0ms (4% of total)adjust: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))> |
#<alt (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))))> |
#<alt (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))> |
#<alt (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))> |
#<alt #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))> |
#<alt (+.f64 z y)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x)))> |
#<alt (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))> |
#<alt #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))> |
#<alt (*.f64 y (*.f64 y #s(literal -1/6 binary64)))> |
#<alt (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))))> |
#<alt (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 z z)> |
#<alt (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x))> |
#<alt (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x))> |
#<alt (/.f64 (cos.f64 y) x)> |
#<alt (*.f64 (cos.f64 y) z)> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))> |
#<alt (fma.f64 (cos.f64 y) z (sin.f64 y))> |
#<alt (*.f64 y #s(literal -1/6 binary64))> |
#<alt (fma.f64 z z (*.f64 x (-.f64 x z)))> |
#<alt (/.f64 (sin.f64 y) x)> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (- (* z (cos y)) (sin y)))> |
#<alt (+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y)))))))> |
#<alt (+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (+ (* x (- (/ 1 (+ (sin y) (* z (cos y)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))) (+ (sin y) (* z (cos y))))))) (/ (sin y) (+ (sin y) (* z (cos y)))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y)))))))> |
#<alt (+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (+ (* x (- (+ (/ 1 (+ (sin y) (* z (cos y)))) (/ (* x (- (/ 1 (+ (sin y) (* z (cos y)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))) (+ (sin y) (* z (cos y))))))) (+ (sin y) (* z (cos y))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))) (+ (sin y) (* z (cos y))))))) (/ (sin y) (+ (sin y) (* z (cos y)))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y)))))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ 1 (* 2 (/ (sin y) x)))))> |
#<alt (* x (- (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (+ 1 (+ (* -1 (/ (* (+ (sin y) (* z (cos y))) (- (* -1 (+ (sin y) (* z (cos y)))) (* 2 (sin y)))) (pow x 2))) (* 2 (/ (sin y) x))))))> |
#<alt (* x (- (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (/ (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2)) (/ (* (+ (sin y) (* z (cos y))) (- (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (* -1 (* (+ (sin y) (* z (cos y))) (- (* -1 (+ (sin y) (* z (cos y)))) (* 2 (sin y))))))) (pow x 3)))) (+ 1 (+ (* -1 (/ (* (+ (sin y) (* z (cos y))) (- (* -1 (+ (sin y) (* z (cos y)))) (* 2 (sin y)))) (pow x 2))) (* 2 (/ (sin y) x))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- (+ 1 (+ (* -1 (/ (- (* z (cos y)) (sin y)) x)) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))) (/ (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) x)) (/ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))) x)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))) (* -1 (/ (+ (* -1 (- (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))))) (* -1 (/ (* (+ (sin y) (* z (cos y))) (- (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))))) x))) x))) x)))))> |
#<alt (/ (* (+ x z) (- z x)) (- x z))> |
#<alt (+ (* y (- (+ (* -1 (/ (+ x z) (- x z))) (/ z (- x z))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z))))) (/ (* (+ x z) (- z x)) (- x z)))> |
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#<alt z> |
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#<alt z> |
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#<alt x> |
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#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (/ 1 x)> |
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#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
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#<alt (/ (cos y) x)> |
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#<alt (/ (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)> |
#<alt (/ (- (+ (/ 1 (cos y)) (/ (pow (+ x (sin y)) 2) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (+ x (sin y)) (* z (pow (cos y) 2))))) z)> |
#<alt (/ (- (+ (/ 1 (cos y)) (/ (pow (+ x (sin y)) 3) (* (pow z 3) (pow (cos y) 4)))) (+ (* -1 (/ (+ x (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow (+ x (sin y)) 2) (* (pow z 2) (pow (cos y) 3)))))) z)> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (sin y)) 2) (* z (pow (cos y) 3))) (* -1 (/ (+ x (sin y)) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (sin y)) 3) (* z (pow (cos y) 4)))) (/ (pow (+ x (sin y)) 2) (pow (cos y) 3))) z)) (* -1 (/ (+ x (sin y)) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))> |
#<alt (/ 1 (- (* z (cos y)) (sin y)))> |
#<alt (+ (/ 1 (- (* z (cos y)) (sin y))) (/ x (pow (- (* z (cos y)) (sin y)) 2)))> |
#<alt (+ (* x (+ (/ 1 (pow (- (* z (cos y)) (sin y)) 2)) (/ x (pow (- (* z (cos y)) (sin y)) 3)))) (/ 1 (- (* z (cos y)) (sin y))))> |
#<alt (+ (* x (+ (* x (+ (/ 1 (pow (- (* z (cos y)) (sin y)) 3)) (/ x (pow (- (* z (cos y)) (sin y)) 4)))) (/ 1 (pow (- (* z (cos y)) (sin y)) 2)))) (/ 1 (- (* z (cos y)) (sin y))))> |
#<alt (/ -1 x)> |
#<alt (/ (- (/ (sin y) x) (+ 1 (/ (* z (cos y)) x))) x)> |
#<alt (/ (- (+ (/ (sin y) x) (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (+ 1 (/ (* z (cos y)) x))) x)> |
#<alt (/ (- (+ (/ (sin y) x) (/ (* (- (sin y) (* z (cos y))) (pow (- (* z (cos y)) (sin y)) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (/ (* z (cos y)) x)))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (sin y) (* z (cos y))) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (sin y) (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) x)) (* z (cos y))) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (sin y) (* -1 (/ (- (* -1 (/ (* (- (sin y) (* z (cos y))) (pow (- (* z (cos y)) (sin y)) 2)) x)) (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) x))) (* z (cos y))) x))) x))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (sin y)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x z)) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x z)) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
#<alt (/ y x)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 13.0ms | x | @ | 0 | (* (- x (+ (* (cos y) z) (sin y))) (/ 1 (- (* (cos y) z) (+ x (sin y))))) |
| 6.0ms | x | @ | 0 | (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
| 2.0ms | x | @ | inf | (* (+ (* z (* z z)) (* x (* x x))) (/ 1 (+ (* z z) (* x (- x z))))) |
| 2.0ms | y | @ | 0 | (/ (+ x (+ (* (cos y) z) (sin y))) (* (- x (+ (* (cos y) z) (sin y))) (/ 1 (- (* (cos y) z) (+ x (sin y)))))) |
| 1× | egg-herbie |
| 7 198× | lower-fma.f64 |
| 7 198× | lower-fma.f32 |
| 5 340× | lower-*.f64 |
| 5 340× | lower-*.f32 |
| 5 326× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 991 | 10190 |
| 1 | 3180 | 9728 |
| 0 | 8188 | 9122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (- (* z (cos y)) (sin y))) |
(+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))))) |
(+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (+ (* x (- (/ 1 (+ (sin y) (* z (cos y)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))) (+ (sin y) (* z (cos y))))))) (/ (sin y) (+ (sin y) (* z (cos y)))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))))) |
(+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (+ (* x (- (+ (/ 1 (+ (sin y) (* z (cos y)))) (/ (* x (- (/ 1 (+ (sin y) (* z (cos y)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))) (+ (sin y) (* z (cos y))))))) (+ (sin y) (* z (cos y))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))) (+ (sin y) (* z (cos y))))))) (/ (sin y) (+ (sin y) (* z (cos y)))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))))) |
(* -1 x) |
(* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ 1 (* 2 (/ (sin y) x))))) |
(* x (- (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (+ 1 (+ (* -1 (/ (* (+ (sin y) (* z (cos y))) (- (* -1 (+ (sin y) (* z (cos y)))) (* 2 (sin y)))) (pow x 2))) (* 2 (/ (sin y) x)))))) |
(* x (- (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (/ (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2)) (/ (* (+ (sin y) (* z (cos y))) (- (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (* -1 (* (+ (sin y) (* z (cos y))) (- (* -1 (+ (sin y) (* z (cos y)))) (* 2 (sin y))))))) (pow x 3)))) (+ 1 (+ (* -1 (/ (* (+ (sin y) (* z (cos y))) (- (* -1 (+ (sin y) (* z (cos y)))) (* 2 (sin y)))) (pow x 2))) (* 2 (/ (sin y) x)))))) |
(* -1 x) |
(* -1 (* x (- (+ 1 (+ (* -1 (/ (- (* z (cos y)) (sin y)) x)) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (* -1 (/ (+ (sin y) (* z (cos y))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))) (/ (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) x)) (/ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))) x)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))) (* -1 (/ (+ (* -1 (- (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))))) (* -1 (/ (* (+ (sin y) (* z (cos y))) (- (* (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (+ (* -1 (- (* z (cos y)) (sin y))) (* z (cos y)))) (* -1 (+ (sin y) (* z (cos y)))))))) x))) x))) x))))) |
(/ (* (+ x z) (- z x)) (- x z)) |
(+ (* y (- (+ (* -1 (/ (+ x z) (- x z))) (/ z (- x z))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z))))) (/ (* (+ x z) (- z x)) (- x z))) |
(+ (* y (- (+ (* -1 (/ (+ x z) (- x z))) (+ (* y (- (+ (* -1/2 (/ (* z (+ x z)) (- x z))) (* -1/2 (/ (* z (- z x)) (- x z)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ x z) (- x z))) (/ z (- x z))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z)))) (- x z))) (+ (* 1/2 (/ (* z (* (+ x z) (- z x))) (pow (- x z) 2))) (/ 1 (- x z)))))) (/ z (- x z)))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z))))) (/ (* (+ x z) (- z x)) (- x z))) |
(+ (* y (- (+ (* -1 (/ (+ x z) (- x z))) (+ (* y (- (+ (* -1/2 (/ (* z (+ x z)) (- x z))) (+ (* -1/2 (/ (* z (- z x)) (- x z))) (* y (- (+ (* -1/2 (/ z (- x z))) (+ (* -1/6 (/ (- z x) (- x z))) (+ (* 1/6 (/ (+ x z) (- x z))) (* 1/2 (/ z (- x z)))))) (+ (* -1 (/ (- (+ (* -1/2 (/ (* z (+ x z)) (- x z))) (* -1/2 (/ (* z (- z x)) (- x z)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ x z) (- x z))) (/ z (- x z))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z)))) (- x z))) (+ (* 1/2 (/ (* z (* (+ x z) (- z x))) (pow (- x z) 2))) (/ 1 (- x z))))) (- x z))) (+ (* 1/6 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (* 1/2 (/ (* z (- (+ (* -1 (/ (+ x z) (- x z))) (/ z (- x z))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z))))) (- x z))))))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ x z) (- x z))) (/ z (- x z))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z)))) (- x z))) (+ (* 1/2 (/ (* z (* (+ x z) (- z x))) (pow (- x z) 2))) (/ 1 (- x z)))))) (/ z (- x z)))) (+ (* -1 (/ (* (+ x z) (- z x)) (pow (- x z) 2))) (/ x (- x z))))) (/ (* (+ x z) (- z x)) (- x z))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(/ (* (+ x (+ (sin y) (* z (cos y)))) (- (* z (cos y)) (+ x (sin y)))) (- x (+ (sin y) (* z (cos y))))) |
(* -1 (/ (pow (+ x (sin y)) 2) (- x (sin y)))) |
(+ (* -1 (/ (pow (+ x (sin y)) 2) (- x (sin y)))) (* z (- (+ (* -1 (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (- x (sin y)) 2))))) |
(+ (* -1 (/ (pow (+ x (sin y)) 2) (- x (sin y)))) (* z (- (+ (* -1 (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (+ (* z (- (/ (pow (cos y) 2) (- x (sin y))) (* -1 (/ (* (cos y) (- (+ (* -1 (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (- x (sin y)) 2)))) (- x (sin y)))))) (/ (* (cos y) (+ x (sin y))) (- x (sin y))))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (- x (sin y)) 2))))) |
(+ (* -1 (/ (pow (+ x (sin y)) 2) (- x (sin y)))) (* z (- (+ (* -1 (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (+ (* z (- (+ (/ (* z (* (cos y) (- (/ (pow (cos y) 2) (- x (sin y))) (* -1 (/ (* (cos y) (- (+ (* -1 (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (- x (sin y)) 2)))) (- x (sin y))))))) (- x (sin y))) (/ (pow (cos y) 2) (- x (sin y)))) (* -1 (/ (* (cos y) (- (+ (* -1 (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (+ x (sin y))) (- x (sin y)))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (- x (sin y)) 2)))) (- x (sin y)))))) (/ (* (cos y) (+ x (sin y))) (- x (sin y))))) (/ (* (cos y) (pow (+ x (sin y)) 2)) (pow (- x (sin y)) 2))))) |
(* -1 (* z (cos y))) |
(* z (- (+ (* -1 (cos y)) (+ (* -1 (/ (+ (* -1 (* (cos y) (+ x (sin y)))) (* (cos y) (+ x (sin y)))) (* z (cos y)))) (/ (sin y) z))) (/ x z))) |
(* z (- (+ (* -1 (cos y)) (+ (* -1 (/ (+ (* -1 (* (cos y) (+ x (sin y)))) (* (cos y) (+ x (sin y)))) (* z (cos y)))) (+ (/ (sin y) z) (/ (pow (+ x (sin y)) 2) (* (pow z 2) (cos y)))))) (+ (* -1 (/ (* (- x (sin y)) (- (+ (sin y) (* -1 (/ (+ (* -1 (* (cos y) (+ x (sin y)))) (* (cos y) (+ x (sin y)))) (cos y)))) x)) (* (pow z 2) (cos y)))) (/ x z)))) |
(* z (- (+ (* -1 (cos y)) (+ (* -1 (/ (+ (* -1 (* (cos y) (+ x (sin y)))) (* (cos y) (+ x (sin y)))) (* z (cos y)))) (+ (/ (sin y) z) (+ (/ (* (- x (sin y)) (- (/ (pow (+ x (sin y)) 2) (cos y)) (* -1 (/ (* (- x (sin y)) (- (+ (sin y) (* -1 (/ (+ (* -1 (* (cos y) (+ x (sin y)))) (* (cos y) (+ x (sin y)))) (cos y)))) x)) (cos y))))) (* (pow z 3) (cos y))) (/ (pow (+ x (sin y)) 2) (* (pow z 2) (cos y))))))) (+ (* -1 (/ (* (- x (sin y)) (- (+ (sin y) (* -1 (/ (+ (* -1 (* (cos y) (+ x (sin y)))) (* (cos y) (+ x (sin y)))) (cos y)))) x)) (* (pow z 2) (cos y)))) (/ x z)))) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (+ x (sin y))) (* 2 (sin y))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (+ x (sin y))) (+ (* -1 (/ (- (* -1 (/ (pow (+ x (sin y)) 2) (cos y))) (/ (* (+ (* -1 (+ x (sin y))) (* 2 (sin y))) (- x (sin y))) (cos y))) z)) (* 2 (sin y)))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ (* -1 (+ x (sin y))) (+ (* -1 (/ (- (+ (* -1 (/ (pow (+ x (sin y)) 2) (cos y))) (/ (* (- x (sin y)) (- (* -1 (/ (pow (+ x (sin y)) 2) (cos y))) (/ (* (+ (* -1 (+ x (sin y))) (* 2 (sin y))) (- x (sin y))) (cos y)))) (* z (cos y)))) (/ (* (+ (* -1 (+ x (sin y))) (* 2 (sin y))) (- x (sin y))) (cos y))) z)) (* 2 (sin y)))) z))))) |
(* -1 (/ (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) |
(+ (* -1 (/ (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) (* x (- (/ 1 (- (* z (cos y)) (sin y))) (+ (/ (sin y) (pow (- (* z (cos y)) (sin y)) 2)) (/ (* z (cos y)) (pow (- (* z (cos y)) (sin y)) 2)))))) |
(+ (* -1 (/ (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) (* x (- (+ (/ 1 (- (* z (cos y)) (sin y))) (/ (* x (- (/ 1 (- (* z (cos y)) (sin y))) (+ (/ (sin y) (pow (- (* z (cos y)) (sin y)) 2)) (/ (* z (cos y)) (pow (- (* z (cos y)) (sin y)) 2))))) (- (* z (cos y)) (sin y)))) (+ (/ (sin y) (pow (- (* z (cos y)) (sin y)) 2)) (/ (* z (cos y)) (pow (- (* z (cos y)) (sin y)) 2)))))) |
(+ (* -1 (/ (+ (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- (* z (cos y)) (sin y))) (+ (/ (sin y) (pow (- (* z (cos y)) (sin y)) 2)) (/ (* z (cos y)) (pow (- (* z (cos y)) (sin y)) 2))))) (pow (- (* z (cos y)) (sin y)) 2)) (* -1 (/ (- (/ 1 (- (* z (cos y)) (sin y))) (+ (/ (sin y) (pow (- (* z (cos y)) (sin y)) 2)) (/ (* z (cos y)) (pow (- (* z (cos y)) (sin y)) 2)))) (- (* z (cos y)) (sin y)))))) (/ 1 (- (* z (cos y)) (sin y)))) (+ (/ (sin y) (pow (- (* z (cos y)) (sin y)) 2)) (/ (* z (cos y)) (pow (- (* z (cos y)) (sin y)) 2)))))) |
-1 |
(- (* 2 (/ (sin y) x)) 1) |
(- (+ (* 2 (/ (sin y) x)) (* 2 (/ (* (sin y) (- (* z (cos y)) (sin y))) (pow x 2)))) 1) |
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z |
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(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(/ 1 (- z x)) |
(+ (/ 1 (- z x)) (/ y (pow (- z x) 2))) |
(+ (* y (+ (* y (- (/ 1 (pow (- z x) 3)) (* -1/2 (/ z (pow (- z x) 2))))) (/ 1 (pow (- z x) 2)))) (/ 1 (- z x))) |
(+ (* y (+ (* y (- (+ (* -1 (* y (+ (* -1 (/ (- (/ 1 (pow (- z x) 3)) (* -1/2 (/ z (pow (- z x) 2)))) (- z x))) (+ (* -1/2 (/ z (pow (- z x) 3))) (* 1/6 (/ 1 (pow (- z x) 2))))))) (/ 1 (pow (- z x) 3))) (* -1/2 (/ z (pow (- z x) 2))))) (/ 1 (pow (- z x) 2)))) (/ 1 (- z x))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ 1 (- (* z (cos y)) (+ x (sin y)))) |
(/ -1 (+ x (sin y))) |
(- (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(- (* z (- (* -1 (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(- (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (/ (pow (cos y) 2) (pow (+ x (sin y)) 3)))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(/ 1 (* z (cos y))) |
(/ (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (pow (+ x (sin y)) 2) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (+ x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (pow (+ x (sin y)) 3) (* (pow z 3) (pow (cos y) 4)))) (+ (* -1 (/ (+ x (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow (+ x (sin y)) 2) (* (pow z 2) (pow (cos y) 3)))))) z) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (* -1 (/ (+ x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (sin y)) 2) (* z (pow (cos y) 3))) (* -1 (/ (+ x (sin y)) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (sin y)) 3) (* z (pow (cos y) 4)))) (/ (pow (+ x (sin y)) 2) (pow (cos y) 3))) z)) (* -1 (/ (+ x (sin y)) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(/ 1 (- (* z (cos y)) (sin y))) |
(+ (/ 1 (- (* z (cos y)) (sin y))) (/ x (pow (- (* z (cos y)) (sin y)) 2))) |
(+ (* x (+ (/ 1 (pow (- (* z (cos y)) (sin y)) 2)) (/ x (pow (- (* z (cos y)) (sin y)) 3)))) (/ 1 (- (* z (cos y)) (sin y)))) |
(+ (* x (+ (* x (+ (/ 1 (pow (- (* z (cos y)) (sin y)) 3)) (/ x (pow (- (* z (cos y)) (sin y)) 4)))) (/ 1 (pow (- (* z (cos y)) (sin y)) 2)))) (/ 1 (- (* z (cos y)) (sin y)))) |
(/ -1 x) |
(/ (- (/ (sin y) x) (+ 1 (/ (* z (cos y)) x))) x) |
(/ (- (+ (/ (sin y) x) (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (+ 1 (/ (* z (cos y)) x))) x) |
(/ (- (+ (/ (sin y) x) (/ (* (- (sin y) (* z (cos y))) (pow (- (* z (cos y)) (sin y)) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) (pow x 2))) (/ (* z (cos y)) x)))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (- (sin y) (* z (cos y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (sin y) (/ (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))) x)) (* z (cos y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (sin y) (* -1 (/ (- (* -1 (/ (* (- (sin y) (* z (cos y))) (pow (- (* z (cos y)) (sin y)) 2)) x)) (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) x))) (* z (cos y))) x))) x)) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(pow z 2) |
(+ (* -1 (* x z)) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x) x) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (/.f64 x z) (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (+.f64 (sin.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (+.f64 (sin.f64 y) x) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (+.f64 (sin.f64 y) x) z)) (neg.f64 z)) |
(* -1 (- (* z (cos y)) (sin y))) |
(neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(+ (* -1 (- (* z (cos y)) (sin y))) (* x (- (+ (* -1 (/ (- (+ (* -1 (+ (sin y) (* z (cos y)))) (* z (cos y))) (sin y)) (+ (sin y) (* z (cos y))))) (/ (sin y) (+ (sin y) (* z (cos y))))) (/ (* z (cos y)) (+ (sin y) (* z (cos y))))))) |
(fma.f64 x (-.f64 (-.f64 (/.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 (-.f64 (-.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (sin.f64 y))) (sin.f64 y)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (sin y) (* -1 (/ (- (* -1 (/ (* (- (sin y) (* z (cos y))) (pow (- (* z (cos y)) (sin y)) 2)) x)) (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y)))) x))) (* z (cos y))) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 y) (/.f64 (neg.f64 (fma.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) (/.f64 (pow.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) #s(literal 2 binary64)) x) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)) (*.f64 z (cos.f64 y))) x)) (neg.f64 x)) |
z |
(+ y z) |
(+.f64 y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y z) #s(literal 1 binary64)) z) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(neg.f64 (*.f64 z (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (sin.f64 y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(neg.f64 (*.f64 z (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (sin.f64 y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(neg.f64 (*.f64 z (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (sin.f64 y) z)))) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (* x z)) (pow x 2)) |
(*.f64 x (-.f64 x z)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 x z))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 x z))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 x x) z)) z))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 x x) z)) z))) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* x z)) (pow z 2)) |
(*.f64 z (-.f64 z x)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 z (-.f64 z x) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
| 1× | batch-egg-rewrite |
| 5 064× | lower-*.f32 |
| 5 044× | lower-*.f64 |
| 4 076× | lower-fma.f32 |
| 4 064× | lower-fma.f64 |
| 3 290× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 367 |
| 0 | 90 | 380 |
| 1 | 395 | 275 |
| 2 | 3462 | 275 |
| 0 | 8172 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) |
(*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x)) |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
(*.f64 z z) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/.f64 (cos.f64 y) x) |
(*.f64 (cos.f64 y) z) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(*.f64 y #s(literal -1/6 binary64)) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
(/.f64 (sin.f64 y) x) |
| Outputs |
|---|
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) x) |
(fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x) |
(/.f64 (+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 y) (-.f64 x (*.f64 (cos.f64 y) z))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
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#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) |
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(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(+.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) |
(+.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x z) (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
(-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 x z)) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
(fma.f64 (-.f64 x z) x (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 x (-.f64 x z))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 x (-.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
(/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z))))) |
(/.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (fma.f64 x (*.f64 (-.f64 x z) (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z (*.f64 z (*.f64 x (-.f64 x z))))))) |
(/.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) |
(/.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))))) (neg.f64 (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 z (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z))) |
(pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(*.f64 (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x)) |
(/.f64 (sin.f64 y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
Compiled 54 713 to 3 229 computations (94.1% saved)
37 alts after pruning (32 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 465 | 17 | 1 482 |
| Fresh | 5 | 15 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 473 | 37 | 1 510 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 43.6% | (*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) z) (+ x (sin y)))) (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) | |
| 29.7% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x))))) | |
| 30.7% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))))) | |
| 59.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x)) x x)) | |
| ▶ | 86.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
| ✓ | 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 53.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) | |
| ✓ | 53.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
| ▶ | 58.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
| 85.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x)) | |
| 71.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) | |
| 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) | |
| 33.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))) | |
| ▶ | 36.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
| 36.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) | |
| 35.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) | |
| 57.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 70.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 15.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) | |
| 9.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) | |
| 13.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) | |
| 13.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) | |
| 36.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| 13.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) | |
| 44.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| 30.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) | |
| 18.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) | |
| ✓ | 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| ▶ | 10.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
| 17.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) | |
| 16.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) | |
| 18.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) | |
| 27.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) | |
| ▶ | 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
| 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
Compiled 1 389 to 687 computations (50.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
| ✓ | cost-diff | 704 | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
| ✓ | cost-diff | 0 | (+.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 z x) (-.f64 z x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
| ✓ | cost-diff | 1408 | (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 192 | (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) |
| ✓ | cost-diff | 1024 | (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
| 19 952× | lower-fma.f32 |
| 19 940× | lower-fma.f64 |
| 3 912× | lower-*.f32 |
| 3 896× | lower-*.f64 |
| 2 530× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 392 |
| 0 | 80 | 372 |
| 1 | 156 | 348 |
| 2 | 316 | 342 |
| 3 | 600 | 339 |
| 4 | 1020 | 339 |
| 5 | 3365 | 339 |
| 6 | 7381 | 339 |
| 0 | 8338 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(*.f64 x z) |
z |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x) |
(sin.f64 y) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(*.f64 (+.f64 z x) (-.f64 z x)) |
(+.f64 z x) |
z |
x |
(-.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) |
y |
(*.f64 y y) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
#s(literal 1 binary64) |
(fma.f64 y (-.f64 y z) (*.f64 z z)) |
(-.f64 y z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
#s(approx (/ (sin y) x) (/.f64 y x)) |
(/.f64 y x) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(*.f64 x z) |
z |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
#s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(+.f64 x z) |
(*.f64 (+.f64 z x) (-.f64 z x)) |
(*.f64 (+.f64 x z) (-.f64 z x)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
(-.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
#s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
#s(approx (+ (* z (cos y)) (sin y)) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) |
y |
(*.f64 y y) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
#s(literal 1 binary64) |
(fma.f64 y (-.f64 y z) (*.f64 z z)) |
(-.f64 y z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (fma.f64 z (cos.f64 y) x))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x) |
(fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (fma.f64 z (cos.f64 y) x)) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
#s(approx (/ (sin y) x) (/.f64 y x)) |
(/.f64 y x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 y) x) |
| ✓ | accuracy | 85.9% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x) |
| ✓ | accuracy | 52.6% | #s(approx (/ (sin y) x) (/.f64 y x)) |
| ✓ | accuracy | 94.3% | (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) |
| ✓ | accuracy | 58.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
| ✓ | accuracy | 53.1% | #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
| ✓ | accuracy | 35.7% | (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 z x) (-.f64 z x)) |
| ✓ | accuracy | 70.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
| ✓ | accuracy | 54.6% | (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
| ✓ | accuracy | 56.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
| ✓ | accuracy | 39.1% | #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
| ✓ | accuracy | 100.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 y) x) |
| ✓ | accuracy | 86.4% | (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
| 143.0ms | 253× | 0 | valid |
| 3.0ms | 2× | 5 | exit |
| 2.0ms | 1× | 3 | valid |
Compiled 263 to 48 computations (81.7% saved)
ival-mult: 38.0ms (46.6% of total)ival-add: 14.0ms (17.2% of total)ival-div: 9.0ms (11% of total)ival-cos: 7.0ms (8.6% of total)ival-sin: 7.0ms (8.6% of total)const: 4.0ms (4.9% of total)ival-sub: 2.0ms (2.5% of total)adjust: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))> |
#<alt (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)))> |
#<alt (/.f64 (cos.f64 y) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))> |
#<alt #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))> |
#<alt (*.f64 y (*.f64 y y))> |
#<alt (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)))> |
#<alt (*.f64 (+.f64 z x) (-.f64 z x))> |
#<alt (+.f64 z x)> |
#<alt (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))))> |
#<alt #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))> |
#<alt (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))> |
#<alt (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x))> |
#<alt (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x)))> |
#<alt (sin.f64 y)> |
#<alt #s(approx (/ (sin y) x) (/.f64 y x))> |
| Outputs |
|---|
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
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#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (/ (sin y) x)> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ y x)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
#<alt (/ (sin y) x)> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (* (+ (* y (* y y)) (* z (* z z))) (/ 1 (+ (* y (- y z)) (* z z)))) |
| 0.0ms | y | @ | 0 | (* (+ (* y (* y y)) (* z (* z z))) (/ 1 (+ (* y (- y z)) (* z z)))) |
| 0.0ms | z | @ | inf | (* (+ (* y (* y y)) (* z (* z z))) (/ 1 (+ (* y (- y z)) (* z z)))) |
| 0.0ms | y | @ | 0 | (* -1/6 (* y (* y y))) |
| 0.0ms | y | @ | inf | (* (+ (* y (* y y)) (* z (* z z))) (/ 1 (+ (* y (- y z)) (* z z)))) |
| 1× | egg-herbie |
| 10 902× | lower-fma.f64 |
| 10 902× | lower-fma.f32 |
| 3 934× | lower-*.f64 |
| 3 934× | lower-*.f32 |
| 3 790× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 5054 |
| 1 | 1281 | 4879 |
| 2 | 4058 | 4730 |
| 0 | 8359 | 4364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* z (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x))))) |
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) z)) z)))) |
(pow z 2) |
(+ (* x (+ z (* -1 z))) (pow z 2)) |
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2)) |
(+ (* x (+ z (+ (* -1 x) (* -1 z)))) (pow z 2)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
y |
(* y (+ 1 (/ z y))) |
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow y 2)))) (* -1 (/ z y)))) |
(* y (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ (pow z 2) (pow y 2)))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (* -1 z)) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) y)) (+ (* -1 (pow z 2)) (pow z 2))) y)) (* -1 z)) y)) 1))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(* z (+ 1 (/ y z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow z 2)))) (* -1 (/ y z)))) |
(* z (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow z 3)))) (+ (* -1 (/ y z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)) (* -1 y)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) z)) (+ (* -1 (pow y 2)) (pow y 2))) z)) (* -1 y)) z)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(pow z 3) |
(+ (pow y 3) (pow z 3)) |
(+ (pow y 3) (pow z 3)) |
(+ (pow y 3) (pow z 3)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ (pow z 3) (pow y 3)))) |
(* (pow y 3) (+ 1 (/ (pow z 3) (pow y 3)))) |
(* (pow y 3) (+ 1 (/ (pow z 3) (pow y 3)))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1))) |
(pow y 3) |
(+ (pow y 3) (pow z 3)) |
(+ (pow y 3) (pow z 3)) |
(+ (pow y 3) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
| Outputs |
|---|
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
x |
(+ x y) |
(+.f64 x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
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(* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 z z) (/.f64 z (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) |
(* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 z z) (/.f64 z (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(+ (pow y 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) |
(+ (pow y 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) |
(+ (pow y 3) (pow z 3)) |
(fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3)))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(pow z 3) |
(*.f64 z (*.f64 z z)) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1))) |
(*.f64 (*.f64 z (*.f64 z z)) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/ (* z (cos y)) x) |
(*.f64 (cos.f64 y) (/.f64 z x)) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z)))) |
(/ (* z (cos y)) x) |
(*.f64 (cos.f64 y) (/.f64 z x)) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z)))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z)))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 x z)))) |
(/ z x) |
(/.f64 z x) |
(+ (/ y x) (/ z x)) |
(+.f64 (/.f64 z x) (/.f64 y x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(fma.f64 y (fma.f64 y (/.f64 (*.f64 z #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 z x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(fma.f64 y (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x))) (/.f64 y x)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
| 1× | batch-egg-rewrite |
| 6 282× | lower-*.f32 |
| 6 266× | lower-*.f64 |
| 5 042× | lower-fma.f32 |
| 5 030× | lower-fma.f64 |
| 3 432× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 326 |
| 0 | 80 | 305 |
| 1 | 355 | 281 |
| 2 | 2967 | 279 |
| 0 | 8904 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(/.f64 (cos.f64 y) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y y)) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
(*.f64 (+.f64 z x) (-.f64 z x)) |
(+.f64 z x) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
(sin.f64 y) |
#s(approx (/ (sin y) x) (/.f64 y x)) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y))) |
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y)) x) |
(+.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) x) (sin.f64 y)) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x z)) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 (*.f64 x z) x) (+.f64 x (sin.f64 y))) |
(fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (+.f64 x (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (+.f64 x (sin.f64 y))) |
(fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (+.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (+.f64 x (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (+.f64 x (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (cos.f64 y) (/.f64 z x)) x (+.f64 x (sin.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) |
(fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (+.f64 x (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 x (sin.f64 y))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 z (+.f64 x (sin.f64 y))))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 x (sin.f64 y)))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x (*.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (cos.f64 y) (*.f64 x z)))) (*.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 (cos.f64 y) (*.f64 x z)))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) x)) |
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) x (*.f64 (-.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (*.f64 x z)))) (*.f64 (-.f64 (sin.f64 y) x) x)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x (*.f64 (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (*.f64 x z)))) (*.f64 (-.f64 x (sin.f64 y)) x)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 x (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 x (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (-.f64 (sin.f64 y) x) (*.f64 x (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))) (*.f64 x (-.f64 (sin.f64 y) x))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (-.f64 x (sin.f64 y)) (*.f64 x (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 x (-.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))) (+.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y)) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 x x))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (sin.f64 y)) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 x z))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 y) (*.f64 x z))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (*.f64 (cos.f64 y) (*.f64 x z))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (cos.f64 y) (*.f64 x z)))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (*.f64 (cos.f64 y) (*.f64 x z))))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x z) #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x z) (neg.f64 (cos.f64 y))))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 x (*.f64 (cos.f64 y) z)))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x z)))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 (cos.f64 y)) (*.f64 x z)))) (*.f64 (/.f64 (fma.f64 x (-.f64 x (sin.f64 y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)) (*.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 x z))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (cos.f64 y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 y) (*.f64 x z))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 x (*.f64 (cos.f64 y) (*.f64 x z))))) |
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(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))) (pow.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) x) (-.f64 (pow.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64))))) (pow.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)))) x))) |
(*.f64 (+.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(approx (/ (sin y) x) (/.f64 y x))) #s(literal 1 binary64)) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (*.f64 (cos.f64 y) #s(literal 1 binary64)) (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) x))) |
(+.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x))) |
(+.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x)))) (/.f64 (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x))))) |
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) #s(approx (/ (sin y) x) (/.f64 y x))) |
(fma.f64 (cos.f64 y) (/.f64 z x) #s(approx (/ (sin y) x) (/.f64 y x))) |
(fma.f64 (/.f64 (cos.f64 y) x) z #s(approx (/ (sin y) x) (/.f64 y x))) |
(fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
(fma.f64 (*.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (sin y) x) (/.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (-.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x))) (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x)))))) |
(/.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (-.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)))) |
(/.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x)) (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x)))) (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (-.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x))))) |
(/.f64 (-.f64 (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) (-.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x)))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (-.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x))) (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x))) (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (-.f64 #s(approx (/ (sin y) x) (/.f64 y x)) (*.f64 (cos.f64 y) (/.f64 z x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x)) (*.f64 #s(approx (/ (sin y) x) (/.f64 y x)) #s(approx (/ (sin y) x) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(approx (/ (sin y) x) (/.f64 y x))))) |
(sin.f64 y) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) x) (/.f64 y x)) |
Compiled 26 861 to 1 699 computations (93.7% saved)
42 alts after pruning (37 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 100 | 19 | 1 119 |
| Fresh | 9 | 18 | 27 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 114 | 42 | 1 156 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 43.6% | (*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) z) (+ x (sin y)))) (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) | |
| 57.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) #s(approx (+ (* (sin y) 1) x) (+.f64 x y)))) | |
| 52.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) #s(approx (+ (* (sin y) 1) x) (sin.f64 y)))) | |
| 55.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) x))) | |
| 86.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (+.f64 x (sin.f64 y)))) | |
| ✓ | 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 53.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) | |
| ✓ | 53.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
| 58.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) #s(approx (/ (sin y) x) (/.f64 y x))) x)) | |
| 71.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) | |
| 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) | |
| 71.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) | |
| 33.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))) | |
| 42.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (cos.f64 y)) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 x z))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 x (cos.f64 y))))) | |
| 34.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) | |
| 27.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) | |
| 16.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) | |
| 22.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) | |
| 70.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) | |
| 35.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) | |
| 57.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 70.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 15.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) | |
| 9.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) | |
| 13.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) | |
| 13.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) | |
| 19.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) | |
| 36.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) | |
| 70.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) | |
| 44.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) | |
| 30.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) | |
| 18.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) | |
| ✓ | 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| 17.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) | |
| 3.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) | |
| 16.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) | |
| 18.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) | |
| 27.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
Compiled 2 104 to 632 computations (70% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) #s(approx (+ (* (sin y) 1) x) (+.f64 x y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) #s(approx (+ (* (sin y) 1) x) (sin.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (+.f64 x (sin.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) #s(approx (/ 1 (- x (+ (* z (cos y)) (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))) |
(*.f64 #s(approx (- (* x x) (pow (+ (* z (cos y)) (sin y)) 2)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (cos.f64 y)) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (*.f64 x z))) (*.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (/.f64 x (cos.f64 y))))) |
(*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) |
(*.f64 (/.f64 (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (*.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ 1 (- (* (cos y) z) (+ x (sin y)))) (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
4 calls:
| 25.0ms | y |
| 22.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 21.0ms | x |
| 19.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) #s(approx (+ (* (sin y) 1) x) (+.f64 x y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
4 calls:
| 15.0ms | x |
| 15.0ms | z |
| 14.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
| 87.0% | 5 | y |
| 89.7% | 5 | z |
| 84.4% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 x z) #s(approx (+ (* (sin y) 1) x) (+.f64 x y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 (cos.f64 y) (*.f64 x z)) (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(approx (/ (sin y) x) (/.f64 y x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) #s(approx (/ (sin y) x) (/.f64 y x))) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
2 calls:
| 17.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 5 | z |
| 85.1% | 3 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
1 calls:
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 5 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
1 calls:
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 4 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
4 calls:
| 18.0ms | y |
| 13.0ms | z |
| 12.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | y |
| 83.8% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 70.6% | 1 | x |
| 80.9% | 3 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 24.0ms | z |
| 12.0ms | y |
| 12.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 70.6% | 1 | z |
| 70.6% | 1 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (* (+ z x) (- z x)) (- z x)) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 z z)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 x (neg.f64 x))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 #s(approx (+ z x) (fma.f64 x (/.f64 z x) x)) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 #s(approx (+ (* y (* y y)) (* z (* z z))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (+ (* z (* z z)) (* x (* x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ z x) (- z x)) (*.f64 (*.f64 x x) (fma.f64 z (/.f64 z (*.f64 x x)) #s(literal -1 binary64)))) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 z x))) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 (*.f64 z z) x)) x))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal -1/2 binary64)) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/6 binary64))) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 13.0ms | y |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | z |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 1 | x |
| 70.6% | 1 | y |
| 70.6% | 1 | z |
| 70.6% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
4 calls:
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.9% | 1 | x |
| 30.9% | 1 | y |
| 30.9% | 1 | z |
| 30.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.3808378551426865e-24 | 4.991990442472891e-23 |
| 10.0ms | -27440946.000013348 | -14090435.65958473 |
| 16.0ms | 176× | 0 | valid |
Compiled 301 to 179 computations (40.5% saved)
ival-cos: 4.0ms (34.3% of total)ival-sin: 4.0ms (34.3% of total)ival-add: 2.0ms (17.1% of total)ival-mult: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.905194513742182e+152 | 6.724355495847453e+155 |
| 13.0ms | 1.4753048767827898e-20 | 2.761912426818277e-19 |
| 18.0ms | -4.850698348998807e-21 | -2.7532682498730855e-30 |
| 22.0ms | -8.511822183531768e+67 | -1.2196653783950974e+56 |
| 48.0ms | 542× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 831 to 490 computations (41% saved)
ival-sin: 12.0ms (34.1% of total)ival-cos: 11.0ms (31.3% of total)ival-add: 8.0ms (22.8% of total)ival-mult: 4.0ms (11.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.905194513742182e+152 | 6.724355495847453e+155 |
| 0.0ms | 1.4753048767827898e-20 | 2.761912426818277e-19 |
| 1.0ms | -4.850698348998807e-21 | -2.7532682498730855e-30 |
| 1.0ms | -8.511822183531768e+67 | -1.2196653783950974e+56 |
Compiled 831 to 490 computations (41% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 5.0489079704807436e+63 | 7.80373791376813e+69 |
| 3.0ms | -4.850698348998807e-21 | -2.7532682498730855e-30 |
| 23.0ms | -1.0800148228206924e+250 | -3.860608597732769e+224 |
| 46.0ms | 336× | 0 | valid |
Compiled 517 to 342 computations (33.8% saved)
ival-sin: 8.0ms (41.6% of total)ival-cos: 6.0ms (31.2% of total)ival-add: 3.0ms (15.6% of total)ival-mult: 2.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.2287225423087196e-7 | 3378.860185238779 |
| 22.0ms | -7.12760808663347e+52 | -2.2204227299298035e+50 |
| 30.0ms | 288× | 0 | valid |
Compiled 357 to 230 computations (35.6% saved)
ival-sin: 10.0ms (42.6% of total)ival-add: 6.0ms (25.6% of total)ival-cos: 5.0ms (21.3% of total)ival-mult: 2.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.50332704500252e+18 | 1.4231469445993296e+22 |
| 0.0ms | 3.1629897939112704e-12 | 0.15462413804557493 |
| 0.0ms | -0.00535304829993067 | -0.0012804422681684307 |
| 0.0ms | -2.2828650795751136e+28 | -0.9531851344570426 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 615 |
| 1 | 98 | 615 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -14500000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) (if (<=.f64 x #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)))) |
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -899999999999999981882216629693916039247461150898330092129094784176006496354952924767811692627816233073541328115175377964598213188447096281486341741433797806688911784385323411303600112059583111809864422133376858126866754675431964672 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 385000000000000019169623598621714682363620525810289151927612604416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -19999999999999999166239473664 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -14500000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) (if (<=.f64 x #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)))) |
(if (<=.f64 x #s(literal -14500000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) (if (<=.f64 x #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)))) |
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 (cos.f64 y) (/.f64 z x))) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -899999999999999981882216629693916039247461150898330092129094784176006496354952924767811692627816233073541328115175377964598213188447096281486341741433797806688911784385323411303600112059583111809864422133376858126866754675431964672 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 385000000000000019169623598621714682363620525810289151927612604416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -899999999999999981882216629693916039247461150898330092129094784176006496354952924767811692627816233073541328115175377964598213188447096281486341741433797806688911784385323411303600112059583111809864422133376858126866754675431964672 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 385000000000000019169623598621714682363620525810289151927612604416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -19999999999999999166239473664 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -19999999999999999166239473664 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))) |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 10 902× | lower-fma.f64 |
| 10 902× | lower-fma.f32 |
| 7 198× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 991 | 10190 |
| 1 | 3180 | 9728 |
| 0 | 8188 | 9122 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 399 | 5054 |
| 1 | 1281 | 4879 |
| 2 | 4058 | 4730 |
| 0 | 8359 | 4364 |
| 0 | 617 | 6339 |
| 1 | 1928 | 6159 |
| 2 | 6251 | 6081 |
| 0 | 8408 | 5636 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 530 to 227 computations (57.2% saved)
Compiled 600 to 150 computations (75% saved)
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