
Time bar (total: 9.3s)
| 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)
| 764.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 226.0ms (41% of total)ival-cos: 168.0ms (30.5% of total)ival-add: 81.0ms (14.7% of total)ival-mult: 66.0ms (12% of total)ival-true: 6.0ms (1.1% 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 |
| 47.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-sin: 12.0ms (38.8% of total)ival-cos: 10.0ms (32.4% of total)ival-add: 5.0ms (16.2% of total)ival-mult: 3.0ms (9.7% 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 x (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 7.0ms (44.8% of total)ival-cos: 5.0ms (32% of total)ival-add: 2.0ms (12.8% of total)ival-mult: 2.0ms (12.8% 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)) |
| 1.0ms | 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)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 15 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 259 | 15 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 54.8% | (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))) | |
| ▶ | 72.4% | (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))) |
| 60.1% | (/.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)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) | |
| 71.7% | (+.f64 (/.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 z (cos.f64 y))) | |
| 57.6% | (*.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))) (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))))))) | |
| 57.5% | (*.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)))))))) | |
| ▶ | 55.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| ▶ | 55.2% | #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))) |
| 58.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| 58.6% | #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))) | |
| ▶ | 69.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 63.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) | |
| 42.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
Compiled 728 to 352 computations (51.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (-.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))))))) |
| ✓ | cost-diff | 192 | (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) |
| ✓ | cost-diff | 6592 | (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)))))) |
| ✓ | 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))) |
| 16 138× | lower-fma.f32 |
| 16 124× | lower-fma.f64 |
| 3 242× | lower-*.f32 |
| 3 232× | lower-*.f64 |
| 1 858× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 264 |
| 0 | 64 | 261 |
| 1 | 124 | 260 |
| 2 | 279 | 260 |
| 3 | 713 | 254 |
| 4 | 1903 | 254 |
| 5 | 4666 | 254 |
| 0 | 8453 | 244 |
| 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) |
(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 #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))))))) |
#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)))))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z 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) (cos.f64 (+.f64 y y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
x |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(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) |
(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 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) |
(-.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))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z)) #s(literal 1/2 binary64)) |
#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 1/2 binary64) (fma.f64 (cos.f64 (+.f64 y y)) (fma.f64 z z #s(literal 1 binary64)) (*.f64 z z))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 z z) |
z |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y))) |
#s(literal 1 binary64) |
(-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) (neg.f64 z) (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| ✓ | accuracy | 99.4% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 81.7% | (-.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))))))) |
| ✓ | accuracy | 77.7% | (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) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | accuracy | 55.9% | #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 | 100.0% | (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 | 55.2% | #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 | 69.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 84.0ms | 196× | 0 | valid |
| 58.0ms | 54× | 1 | valid |
| 5.0ms | 6× | 2 | valid |
Compiled 252 to 37 computations (85.3% saved)
ival-add: 40.0ms (42.2% of total)ival-mult: 17.0ms (17.9% of total)ival-cos: 16.0ms (16.9% of total)adjust: 6.0ms (6.3% of total)ival-sin: 6.0ms (6.3% of total)const: 4.0ms (4.2% of total)ival-sub: 3.0ms (3.2% of total)ival-div: 2.0ms (2.1% 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 (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))))))> |
#<alt (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)> |
#<alt (-.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)))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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)))> |
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#<alt x> |
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#<alt x> |
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#<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)> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt z> |
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#<alt x> |
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#<alt x> |
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#<alt (* -1/2 z)> |
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#<alt (* -1/6 y)> |
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#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* -1/6 y)> |
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#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (* -1/2 z)> |
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#<alt x> |
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#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
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#<alt (+ x z)> |
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#<alt (sin y)> |
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#<alt z> |
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#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))> |
#<alt (- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (* 1/2 (/ (cos y) (pow (sin y) 2))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))> |
#<alt (- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (+ (* 1/2 (/ (cos y) (pow (sin y) 2))) (* z (- (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3)))))))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))> |
#<alt (- (+ x (+ (* 1/2 (/ 1 (sin y))) (* z (- (+ (* 1/2 (/ (cos y) (pow (sin y) 2))) (* z (- (+ (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))) (* z (- (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))) (* 1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4)))))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3)))))))) (* 1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))))))) (* 1/2 (/ (cos (* 2 y)) (sin y))))> |
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* z (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (/ x z))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))))))> |
#<alt (* z (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 1/2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (/ x z)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (* (pow z 2) (cos y)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* 1/2 (/ 1 (* (pow z 2) (cos y))))))))))> |
#<alt (* z (- (+ (* -1/2 (/ (sin y) (* (pow z 3) (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 1/2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 4)))) (/ x z)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (* (pow z 2) (cos y)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (* (pow z 3) (pow (cos y) 2)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* 1/2 (/ 1 (* (pow z 2) (cos y))))))))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ x (* 1/2 (/ (sin y) (pow (cos y) 2)))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* 1/2 (/ 1 (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (* 1/2 (/ (sin y) (pow (cos y) 2))))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* 1/2 (/ (pow (sin y) 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))))) z)) (+ (* -1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* 1/2 (/ 1 (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (* 1/2 (/ (sin y) (pow (cos y) 2))))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2)))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt (- (+ x (* 1/2 (/ 1 (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y))))))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))> |
#<alt (* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))> |
#<alt (* x (- (+ 1 (/ 1/2 (* x (- (sin y) (* z (cos y)))))) (+ (* 1/2 (/ (cos (* 2 y)) (* x (- (sin y) (* z (cos y)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (- (sin y) (* z (cos y))))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1)))> |
#<alt (* -1 (pow z 2))> |
#<alt (- (* (pow y 2) (- 1 (* -1 (pow z 2)))) (pow z 2))> |
#<alt (- (* (pow y 2) (- (+ 1 (* -1 (* (pow y 2) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2))> |
#<alt (- (* (pow y 2) (- (+ 1 (* (pow y 2) (- (* (pow y 2) (- 2/45 (* -2/45 (pow z 2)))) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2))> |
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))> |
#<alt (- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))> |
#<alt (- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))> |
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))> |
#<alt (* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))> |
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))> |
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | z | @ | inf | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 4.0ms | y | @ | inf | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) |
| 2.0ms | y | @ | -inf | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) |
| 2.0ms | z | @ | inf | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) |
| 2.0ms | z | @ | -inf | (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) |
| 1× | egg-herbie |
| 8 294× | lower-fma.f64 |
| 8 294× | lower-fma.f32 |
| 6 008× | lower-*.f64 |
| 6 008× | lower-*.f32 |
| 3 764× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 6386 |
| 1 | 1780 | 6247 |
| 2 | 5899 | 6186 |
| 0 | 8344 | 5696 |
| 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)) |
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(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(pow z 2) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
| Outputs |
|---|
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 z (+.f64 x y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 x z)) |
(+ 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) (* 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)))) |
(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))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y 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 y (*.f64 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) |
(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))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
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 y (*.f64 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)) |
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 (*.f64 y 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) |
(+ (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)))) |
(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))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 z (+.f64 x y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 x z)) |
(+ 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))) |
x |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 z (/.f64 x z) z) |
(* z (+ 1 (/ x z))) |
(fma.f64 z (/.f64 x z) z) |
(* z (+ 1 (/ x z))) |
(fma.f64 z (/.f64 x z) z) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(fma.f64 z (/.f64 x z) z) |
z |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
(+ x z) |
(+.f64 x z) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 x (/.f64 z x) x) |
(* x (+ 1 (/ z x))) |
(fma.f64 x (/.f64 z x) x) |
(* x (+ 1 (/ z x))) |
(fma.f64 x (/.f64 z x) x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 z 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)))) |
(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))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x)) |
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 z (+.f64 x y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) (+.f64 x z)) |
(+ 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)) |
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(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 (- (sin y) (* z (cos y))))) (+ (* 1/2 (/ (cos (* 2 y)) (- (sin y) (* z (cos y))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (sin y) (* z (cos y)))))) x)) 1))) |
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x)))) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(- (* (pow y 2) (- 1 (* -1 (pow z 2)))) (pow z 2)) |
(fma.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) y (*.f64 z (neg.f64 z))) |
(- (* (pow y 2) (- (+ 1 (* -1 (* (pow y 2) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2)) |
(fma.f64 (*.f64 y y) (fma.f64 z z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z z) #s(literal -1/3 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))) (*.f64 z (neg.f64 z))) |
(- (* (pow y 2) (- (+ 1 (* (pow y 2) (- (* (pow y 2) (- 2/45 (* -2/45 (pow z 2)))) (+ 1/3 (* 1/3 (pow z 2)))))) (* -1 (pow z 2)))) (pow z 2)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 z z) #s(literal 2/45 binary64) #s(literal 2/45 binary64))) (fma.f64 (*.f64 z z) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (fma.f64 z z #s(literal 1 binary64))) (*.f64 z (neg.f64 z))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (* 2 y))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (+ (* 1/2 (cos (neg (* -2 y)))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y)))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y)))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (+ 1/2 (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* 1/2 (cos (* 2 y)))) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(*.f64 (*.f64 z (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z z))) #s(literal 1/2 binary64)))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z z))) #s(literal 1/2 binary64)))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z z))) #s(literal 1/2 binary64)))) |
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(*.f64 (*.f64 z (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z z))) #s(literal 1/2 binary64)))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z z))) #s(literal 1/2 binary64)))) |
(* (pow z 2) (- (* 1/2 (/ 1 (pow z 2))) (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (* 1/2 (/ (cos (* 2 y)) (pow z 2))))))) |
(*.f64 (*.f64 z z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z z))) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2)) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64))) (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) (*.f64 z (neg.f64 z))) (*.f64 z z)) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| 1× | batch-egg-rewrite |
| 4 684× | lower-*.f32 |
| 4 674× | lower-*.f64 |
| 4 028× | lower-/.f32 |
| 4 026× | lower-/.f64 |
| 3 802× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 196 |
| 0 | 64 | 170 |
| 1 | 287 | 145 |
| 2 | 2555 | 145 |
| 0 | 8744 | 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)) |
(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)))))) |
(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 #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 1/2 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))))) |
| 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 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
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(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64))) |
(fma.f64 z (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))) |
(fma.f64 z (*.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (cos.f64 (+.f64 y y)) (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))) |
(fma.f64 (*.f64 z z) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 z z) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (cos.f64 (+.f64 y y)) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) z (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) z) z (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 z z) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) #s(literal 2 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) (*.f64 z z)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) (*.f64 z (*.f64 (cos.f64 y) z))) |
(*.f64 z (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 z (*.f64 (cos.f64 y) (*.f64 (cos.f64 y) z))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z)) |
(*.f64 (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(*.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) |
(*.f64 (*.f64 (*.f64 (cos.f64 y) z) (cos.f64 y)) z) |
(*.f64 (*.f64 (*.f64 (cos.f64 y) z) z) (cos.f64 y)) |
Compiled 41 204 to 2 454 computations (94% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 130 | 21 | 1 151 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 137 | 29 | 1 166 |
| Status | Accuracy | Program |
|---|---|---|
| 54.8% | (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))) | |
| 72.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.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))) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| ✓ | 55.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| 56.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) | |
| ▶ | 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
| 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z))))) (+.f64 z x))) | |
| ▶ | 42.3% | #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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
| 88.0% | #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)) | |
| 24.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) | |
| 39.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))) | |
| 39.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) | |
| 58.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| 58.6% | #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))) | |
| ✓ | 69.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 39.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| 86.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))) | |
| ▶ | 42.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 26.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) | |
| ▶ | 28.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| 15.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) | |
| 24.4% | #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))) | |
| 33.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| 49.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) | |
| 2.8% | #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))))) | |
| 63.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) | |
| 42.6% | #s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (+.f64 x (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))) | |
| 42.4% | #s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
Compiled 904 to 509 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
| ✓ | cost-diff | 704 | (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 z (*.f64 y #s(literal -1/2 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 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| 9 676× | lower-fma.f32 |
| 9 668× | lower-fma.f64 |
| 7 118× | lower-*.f32 |
| 7 108× | lower-*.f64 |
| 2 474× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 308 |
| 0 | 63 | 300 |
| 1 | 115 | 300 |
| 2 | 206 | 300 |
| 3 | 271 | 295 |
| 4 | 315 | 295 |
| 5 | 499 | 295 |
| 6 | 1462 | 295 |
| 7 | 1951 | 295 |
| 8 | 2597 | 295 |
| 9 | 2922 | 295 |
| 10 | 3222 | 295 |
| 11 | 3590 | 295 |
| 12 | 4094 | 295 |
| 13 | 4779 | 295 |
| 14 | 6758 | 295 |
| 15 | 7576 | 295 |
| 0 | 8218 | 276 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.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) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(+.f64 x (sin.f64 y)) |
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 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x)) |
y |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
z |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 z x) |
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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x)) |
y |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) |
(*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 z y) |
z |
#s(literal -1/6 binary64) |
(+.f64 z x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
#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 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
z |
(cos.f64 y) |
y |
(+.f64 x (sin.f64 y)) |
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 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x)) |
y |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
z |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(+.f64 z x) |
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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z 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 (fma.f64 z #s(literal -1/2 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x)) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) |
(*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)))) |
(*.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 z y) |
z |
#s(literal -1/6 binary64) |
(+.f64 z x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 42.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.7% | (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 90.1% | (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 59.6% | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 55.2% | #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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x)) |
| ✓ | accuracy | 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
| ✓ | accuracy | 29.1% | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 z y) |
| ✓ | accuracy | 55.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| ✓ | accuracy | 54.3% | #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)) |
| ✓ | accuracy | 100.0% | (+.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| 71.0ms | 256× | 0 | valid |
Compiled 212 to 33 computations (84.4% saved)
ival-mult: 17.0ms (33.9% of total)ival-add: 11.0ms (21.9% of total)ival-cos: 7.0ms (14% of total)ival-div: 5.0ms (10% of total)ival-sin: 5.0ms (10% of total)const: 4.0ms (8% 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))> |
#<alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))> |
#<alt (cos.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 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x)))> |
#<alt (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))> |
#<alt #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64))))> |
#<alt (*.f64 z (*.f64 y #s(literal -1/2 binary64)))> |
#<alt (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)))> |
#<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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))> |
#<alt #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)))))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (+.f64 x (sin.f64 y))> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
#<alt (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))> |
| Outputs |
|---|
#<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 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 (/ 1 (+ x (sin y)))> |
#<alt (+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y))))> |
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)> |
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))> |
#<alt (/ 1 (+ x z))> |
#<alt (+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z)))> |
#<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 (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 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)))))> |
#<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 (- (/ 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 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))> |
#<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 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 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) (* 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))> |
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#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (sin y)> |
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#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))> |
#<alt z> |
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#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt y> |
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#<alt (+ y z)> |
#<alt z> |
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#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt z> |
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#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt z> |
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#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt y> |
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#<alt (* y (+ 1 (/ z y)))> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt y> |
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#<alt x> |
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#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
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#<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)> |
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#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
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#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
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#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 z)> |
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#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (* -1/6 y)> |
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#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* -1/6 y)> |
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#<alt (* -1/6 y)> |
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#<alt (* -1/2 z)> |
#<alt (* z (- (* -1/6 (/ y z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ y z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ y z)) 1/2))> |
#<alt (* -1/2 z)> |
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#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))> |
#<alt (+ (sin y) (* z (cos y)))> |
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#<alt x> |
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#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
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#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
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#<alt (+ x (sin y))> |
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#<alt (* z (cos y))> |
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#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
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#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
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#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (* -1/6 (pow y 3))> |
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#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
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#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
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#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
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#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt x> |
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#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt 1> |
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#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))> |
#<alt (* -1/6 (pow y 2))> |
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#<alt (* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
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#<alt (* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))> |
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#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 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> |
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#<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 (* 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 (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 (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt -1/6> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (* -1/2 (/ z y))> |
#<alt (* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))> |
#<alt (* -1/2 (/ z y))> |
#<alt (* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))> |
#<alt (* -1/2 (/ z y))> |
#<alt (/ (+ (* -1/2 z) (* -1/6 y)) y)> |
#<alt (/ (+ (* -1/2 z) (* -1/6 y)) y)> |
#<alt (/ (+ (* -1/2 z) (* -1/6 y)) y)> |
#<alt -1/6> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt -1/6> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
#<alt (- (* -1/2 (/ z y)) 1/6)> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (* y -1/2) |
| 2.0ms | z | @ | 0 | (* y (+ (* -1/2 (/ z y)) -1/6)) |
| 1.0ms | z | @ | inf | (/ 1 (+ (* z (cos y)) (+ x (sin y)))) |
| 1.0ms | z | @ | inf | (* y (+ (* -1/2 (/ z y)) -1/6)) |
| 1.0ms | z | @ | inf | (* z (* y -1/2)) |
| 1× | egg-herbie |
| 11 492× | lower-fma.f64 |
| 11 492× | lower-fma.f32 |
| 6 092× | lower-*.f64 |
| 6 092× | lower-*.f32 |
| 3 944× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 5920 |
| 1 | 1178 | 5837 |
| 2 | 3762 | 5719 |
| 0 | 8217 | 5231 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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 (+ (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))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* 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))) (* -1 (/ (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 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 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))))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ 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 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(+ 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 (+ (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))) |
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) (* 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))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 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 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -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))))) |
(+ 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)))) |
(+ (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))))) |
(* 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)) |
(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)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
-1/6 |
(- (* -1/2 (/ z y)) 1/6) |
(- (* -1/2 (/ z y)) 1/6) |
(- (* -1/2 (/ z y)) 1/6) |
(* -1/2 (/ z y)) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(* -1/2 (/ z y)) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(* -1/2 (/ z y)) |
(/ (+ (* -1/2 z) (* -1/6 y)) y) |
(/ (+ (* -1/2 z) (* -1/6 y)) y) |
(/ (+ (* -1/2 z) (* -1/6 y)) y) |
-1/6 |
(- (* -1/2 (/ z y)) 1/6) |
(- (* -1/2 (/ z y)) 1/6) |
(- (* -1/2 (/ z y)) 1/6) |
-1/6 |
(- (* -1/2 (/ z y)) 1/6) |
(- (* -1/2 (/ z y)) 1/6) |
(- (* -1/2 (/ z y)) 1/6) |
| Outputs |
|---|
(+ 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 y z)) |
(+ 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))))))) |
(+.f64 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)) 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)))) |
(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))) |
(*.f64 x (neg.f64 (-.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 (neg.f64 (-.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 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
(/ 1 (+ x (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (cos.f64 y) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (/.f64 (cos.f64 y) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
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(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)))) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(*.f64 y (*.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(*.f64 (*.f64 y y) (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 z #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(fma.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(fma.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(fma.f64 z (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 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)))) |
(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))) |
(*.f64 x (neg.f64 (-.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 (neg.f64 (-.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 (neg.f64 (-.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 y z)) |
(+ 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))))))) |
(+.f64 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)) 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))) |
(* 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 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (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)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* 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)) |
(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))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (neg.f64 x)) |
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 (*.f64 y 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)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1/2 (/ z y)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1/2 (/ z y)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1 (* z (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z))))) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(* -1/2 (/ z y)) |
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y) |
(/ (+ (* -1/2 z) (* -1/6 y)) y) |
(/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) y) |
(/ (+ (* -1/2 z) (* -1/6 y)) y) |
(/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) y) |
(/ (+ (* -1/2 z) (* -1/6 y)) y) |
(/.f64 (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) y) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(- (* -1/2 (/ z y)) 1/6) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
| 1× | batch-egg-rewrite |
| 5 632× | lower-fma.f32 |
| 5 624× | lower-fma.f64 |
| 4 144× | lower-*.f32 |
| 4 134× | lower-*.f64 |
| 3 816× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 268 |
| 0 | 63 | 260 |
| 1 | 256 | 260 |
| 2 | 1959 | 260 |
| 0 | 8704 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.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 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
(fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x)) |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 z (*.f64 y #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))) |
#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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x)) |
#s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(+.f64 x (sin.f64 y)) |
(*.f64 y #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)) |
| 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 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) x)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
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(pow.f64 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64)) |
(*.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 (-.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 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
(+.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)) |
(+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))) (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))) |
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -1/6 binary64)) |
(fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 z) y) #s(literal -1/6 binary64)) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 1/12 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (/.f64 z y) #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y))) (-.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64))))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 z y) #s(literal 1/12 binary64)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)))) |
Compiled 25 789 to 1 810 computations (93% saved)
39 alts after pruning (34 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 033 | 21 | 1 054 |
| Fresh | 8 | 13 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 044 | 39 | 1 083 |
| Status | Accuracy | Program |
|---|---|---|
| 54.8% | (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))) | |
| 72.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.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))) |
| 52.3% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 42.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 z (cos.f64 y))))) | |
| 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 63.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) | |
| ▶ | 88.0% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
| 58.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) | |
| 58.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 x (sin.f64 y))) | |
| 86.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))) | |
| ✓ | 55.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| 56.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) | |
| 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) | |
| 18.8% | #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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64))))))) (+.f64 z x))) | |
| 50.2% | #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(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.f64 z x))) | |
| 24.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) | |
| 33.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) | |
| 39.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) | |
| ✓ | 69.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 33.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))))) | |
| 39.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ✓ | 42.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 24.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) | |
| 24.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 26.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 26.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) | |
| ▶ | 17.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
| ✓ | 28.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| 18.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) | |
| ▶ | 15.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
| ▶ | 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
| 33.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| 24.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) | |
| 49.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) | |
| 2.8% | #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))))) | |
| 63.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) | |
| 42.6% | #s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (+.f64 x (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))) | |
| 42.4% | #s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
Compiled 1 352 to 722 computations (46.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z z) (-.f64 z y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
| ✓ | cost-diff | 704 | (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) |
| ✓ | cost-diff | 0 | #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
| ✓ | cost-diff | 1152 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)) |
| ✓ | cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
| ✓ | cost-diff | 704 | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 896 | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| 4 634× | lower-fma.f32 |
| 4 630× | lower-fma.f64 |
| 3 220× | lower-*.f32 |
| 3 212× | lower-*.f64 |
| 1 530× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 305 |
| 0 | 63 | 292 |
| 1 | 108 | 292 |
| 2 | 205 | 292 |
| 3 | 345 | 285 |
| 4 | 749 | 273 |
| 5 | 1837 | 272 |
| 6 | 3780 | 266 |
| 7 | 6345 | 266 |
| 0 | 8181 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
#s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))) |
#s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)) |
(-.f64 #s(literal -1 binary64) (/.f64 y z)) |
#s(literal -1 binary64) |
(/.f64 y z) |
y |
z |
(neg.f64 z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) |
(/.f64 (*.f64 z z) (-.f64 z y)) |
(*.f64 z z) |
z |
(-.f64 z y) |
y |
(/.f64 (*.f64 y y) (-.f64 z y)) |
(*.f64 y y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) |
(sin.f64 y) |
y |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
z |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (+.f64 z y)))) |
#s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))) |
#s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (+.f64 z y))) |
#s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))) |
#s(approx (+ z y) (+.f64 z y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)) |
(+.f64 z y) |
(-.f64 #s(literal -1 binary64) (/.f64 y z)) |
#s(literal -1 binary64) |
(/.f64 y z) |
y |
z |
(neg.f64 z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))))) |
#s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) |
#s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/.f64 (*.f64 z z) (-.f64 z y)) |
(*.f64 z (/.f64 z (-.f64 z y))) |
(*.f64 z z) |
z |
(-.f64 z y) |
y |
(/.f64 (*.f64 y y) (-.f64 z y)) |
(*.f64 y (/.f64 y (-.f64 z y))) |
(*.f64 y y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) |
(sin.f64 y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 55.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
| ✓ | accuracy | 38.7% | #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) |
| ✓ | accuracy | 75.7% | (/.f64 (*.f64 y y) (-.f64 z y)) |
| ✓ | accuracy | 72.7% | (/.f64 (*.f64 z z) (-.f64 z y)) |
| ✓ | accuracy | 55.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
| ✓ | accuracy | 54.3% | #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) |
| ✓ | accuracy | 100.0% | #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))) |
| ✓ | accuracy | 88.2% | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)) |
| ✓ | accuracy | 55.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
| ✓ | accuracy | 54.3% | #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))) |
| ✓ | accuracy | 99.8% | (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
| ✓ | accuracy | 56.9% | #s(approx (cos y) #s(literal 1 binary64)) |
| ✓ | accuracy | 42.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| ✓ | 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 | 88.1% | (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
| 68.0ms | 256× | 0 | valid |
Compiled 188 to 33 computations (82.4% saved)
ival-div: 13.0ms (26.4% of total)ival-add: 9.0ms (18.3% of total)ival-mult: 9.0ms (18.3% of total)ival-cos: 8.0ms (16.3% of total)ival-sin: 5.0ms (10.2% of total)ival-sub: 3.0ms (6.1% of total)ival-neg: 1.0ms (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 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 #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x))> |
#<alt (/.f64 (cos.f64 y) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))> |
#<alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))))> |
#<alt #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))> |
#<alt #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))> |
#<alt (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))))> |
#<alt #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))> |
#<alt (/.f64 (*.f64 z z) (-.f64 z y))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)))> |
#<alt #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (/.f64 (sin.f64 y) x)> |
#<alt (/.f64 (*.f64 y y) (-.f64 z 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) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* 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 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) 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 (+ 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 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 (/ 1 x)> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (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 (* 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)> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt y> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt y> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt z> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 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)))))))> |
#<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 (+ (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 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 y> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt z> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt y> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt y> |
#<alt (- z (* -1 y))> |
#<alt (- z (* -1 y))> |
#<alt (- z (* -1 y))> |
#<alt z> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow z 2)))) (* -1 (/ y z))))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow z 2)))) (* -1 (/ y z))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt (+ y z)> |
#<alt y> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt (* y (+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow z 2) (pow y 2))))))> |
#<alt (* y (+ 1 (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow z 2) (pow y 2))))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ z (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) y))) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ z (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) y))) y)) 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)))))))> |
#<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 (+ (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 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 (* -1 (/ (pow z 2) y))> |
#<alt (* (pow z 2) (- (* -1 (/ z (pow y 2))) (/ 1 y)))> |
#<alt (* (pow z 2) (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt z> |
#<alt (* z (+ 1 (/ y z)))> |
#<alt (* z (- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))))> |
#<alt (* z (- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1)))> |
#<alt z> |
#<alt (+ y z)> |
#<alt (+ z (* y (+ 1 (/ y z))))> |
#<alt (+ z (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))))> |
#<alt (* -1 (/ (pow z 2) y))> |
#<alt (/ (+ (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)> |
#<alt (/ (- (+ (* -1 (/ (pow z 4) (pow y 2))) (* -1 (pow z 2))) (/ (pow z 3) y)) y)> |
#<alt (/ (- (+ (* -1 (/ (pow z 5) (pow y 3))) (* -1 (pow z 2))) (+ (/ (pow z 3) y) (/ (pow z 4) (pow y 2)))) y)> |
#<alt (* -1 (/ (pow z 2) y))> |
#<alt (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) y)) (pow z 3)) y)) (pow z 2)) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) y) (* -1 (pow z 4))) y)) (pow z 3)) y)) (pow z 2)) 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 (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 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 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)> |
#<alt (/ (pow y 2) z)> |
#<alt (* (pow y 2) (+ (/ 1 z) (/ y (pow z 2))))> |
#<alt (* (pow y 2) (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))> |
#<alt (* (pow y 2) (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)))> |
#<alt (* -1 y)> |
#<alt (* y (- (* -1 (/ z y)) 1))> |
#<alt (* y (- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))))> |
#<alt (* y (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (/ z y))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))))> |
#<alt (* -1 y)> |
#<alt (+ (* -1 y) (* -1 z))> |
#<alt (+ (* -1 y) (* z (- (* -1 (/ z y)) 1)))> |
#<alt (+ (* -1 y) (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)))> |
#<alt (/ (pow y 2) z)> |
#<alt (/ (+ (/ (pow y 3) z) (pow y 2)) z)> |
#<alt (/ (- (+ (/ (pow y 4) (pow z 2)) (pow y 2)) (* -1 (/ (pow y 3) z))) z)> |
#<alt (/ (- (+ (/ (pow y 5) (pow z 3)) (pow y 2)) (+ (* -1 (/ (pow y 3) z)) (* -1 (/ (pow y 4) (pow z 2))))) z)> |
#<alt (/ (pow y 2) z)> |
#<alt (* -1 (/ (+ (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) z) (pow y 3)) z)) (* -1 (pow y 2))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 5) z)) (* -1 (pow y 4))) z)) (pow y 3)) z)) (* -1 (pow y 2))) z))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (cos y) x) |
| 2.0ms | z | @ | -inf | (- (/ (* z z) (- z y)) (/ (* y y) (- z y))) |
| 1.0ms | z | @ | 0 | (- (/ (* z z) (- z y)) (/ (* y y) (- z y))) |
| 1.0ms | x | @ | -inf | (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
| 1.0ms | y | @ | -inf | (+ (* x (+ (* z (/ (cos y) x)) (/ (sin y) x))) x) |
| 1× | egg-herbie |
| 9 856× | lower-fma.f64 |
| 9 856× | lower-fma.f32 |
| 4 444× | lower-*.f64 |
| 4 444× | lower-*.f32 |
| 3 772× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 4694 |
| 1 | 1237 | 4599 |
| 2 | 3609 | 4427 |
| 0 | 8375 | 4063 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
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x |
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x |
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(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
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(* z (cos y)) |
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x |
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
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(* z (cos y)) |
(* z (cos y)) |
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(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
y |
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y |
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y |
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(sin y) |
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(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
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y |
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z |
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y |
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y |
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(sin y) |
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z |
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z |
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(/ (- (+ (* -1 (/ (pow z 5) (pow y 3))) (* -1 (pow z 2))) (+ (/ (pow z 3) y) (/ (pow z 4) (pow y 2)))) y) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
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(* -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))) |
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) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ y (pow z 2)))) |
(* (pow y 2) (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))) |
(* (pow y 2) (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(* -1 y) |
(* y (- (* -1 (/ z y)) 1)) |
(* y (- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y)))) |
(* y (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2)))))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ z y)))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))))) |
(* -1 y) |
(+ (* -1 y) (* -1 z)) |
(+ (* -1 y) (* z (- (* -1 (/ z y)) 1))) |
(+ (* -1 y) (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))) |
(/ (pow y 2) z) |
(/ (+ (/ (pow y 3) z) (pow y 2)) z) |
(/ (- (+ (/ (pow y 4) (pow z 2)) (pow y 2)) (* -1 (/ (pow y 3) z))) z) |
(/ (- (+ (/ (pow y 5) (pow z 3)) (pow y 2)) (+ (* -1 (/ (pow y 3) z)) (* -1 (/ (pow y 4) (pow z 2))))) z) |
(/ (pow y 2) z) |
(* -1 (/ (+ (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) z) (pow y 3)) z)) (* -1 (pow y 2))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 5) z)) (* -1 (pow y 4))) z)) (pow y 3)) z)) (* -1 (pow y 2))) z)) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.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 (+ (/ (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) 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 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.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 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 y (fma.f64 z (fma.f64 y (*.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 z x)) |
(+ x (* x (+ (/ (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 (* x (+ (/ (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 (* x (+ (/ (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 (* x (+ (/ (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 (* x (+ (/ (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 (* x (+ (/ (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 (* x (+ (/ (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 (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x) |
(/ (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 (*.f64 z (cos.f64 y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.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 z x)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x)))) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) 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 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 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 z x)))) |
(/ 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 #s(literal -1/2 binary64) (/.f64 z 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) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.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 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 (sin.f64 y) x) z))) |
(+ x z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 y (fma.f64 z (fma.f64 y (*.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 z x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.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 (+ (/ (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))) |
(*.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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
x |
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(neg.f64 (fma.f64 y (/.f64 (fma.f64 z (/.f64 z y) z) y) y)) |
(* y (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2)))))) |
(-.f64 (*.f64 y (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))) y)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ z y)))) |
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 z y))) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))))) |
(neg.f64 (fma.f64 y (/.f64 (fma.f64 z (/.f64 z y) z) y) y)) |
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))))) |
(-.f64 (*.f64 y (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))) y)) y) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* -1 z)) |
(-.f64 (neg.f64 y) z) |
(+ (* -1 y) (* z (- (* -1 (/ z y)) 1))) |
(-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y) |
(+ (* -1 y) (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))) |
(-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))) y) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (+ (/ (pow y 3) z) (pow y 2)) z) |
(/.f64 (*.f64 y (fma.f64 y (/.f64 y z) y)) z) |
(/ (- (+ (/ (pow y 4) (pow z 2)) (pow y 2)) (* -1 (/ (pow y 3) z))) z) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 y z) y) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z z))) z) |
(/ (- (+ (/ (pow y 5) (pow z 3)) (pow y 2)) (+ (* -1 (/ (pow y 3) z)) (* -1 (/ (pow y 4) (pow z 2))))) z) |
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 y (fma.f64 y (/.f64 y z) y) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z z)))) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* -1 (/ (+ (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) |
(/.f64 (*.f64 y (fma.f64 y (/.f64 y z) y)) z) |
(* -1 (/ (+ (* -1 (/ (+ (/ (pow y 4) z) (pow y 3)) z)) (* -1 (pow y 2))) z)) |
(/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z)) z)) z) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 5) z)) (* -1 (pow y 4))) z)) (pow y 3)) z)) (* -1 (pow y 2))) z)) |
(/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (/.f64 (pow.f64 y #s(literal 5 binary64)) z)) z)) z)) z) |
| 1× | batch-egg-rewrite |
| 5 074× | lower-fma.f32 |
| 5 070× | lower-fma.f64 |
| 5 022× | lower-/.f32 |
| 5 012× | lower-/.f64 |
| 4 326× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 271 |
| 0 | 63 | 231 |
| 1 | 259 | 231 |
| 2 | 2228 | 231 |
| 0 | 8994 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
(/.f64 (cos.f64 y) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(*.f64 z #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
#s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z)))) |
#s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) |
(/.f64 (*.f64 z z) (-.f64 z y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) x) |
(/.f64 (*.f64 y y) (-.f64 z y)) |
| Outputs |
|---|
(+.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) |
(+.f64 (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(+.f64 (+.f64 x (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x))) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x) |
(fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 (/.f64 (cos.f64 y) x) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (*.f64 (cos.f64 y) (/.f64 z x)) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x z) (/.f64 (cos.f64 y) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (/.f64 (cos.f64 y) x)) z (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x))) (+.f64 x (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (/.f64 (cos.f64 y) x) (*.f64 z x))) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.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 (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(*.f64 (+.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (/.f64 z x))) |
(+.f64 (*.f64 (cos.f64 y) (/.f64 z x)) (/.f64 (sin.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 (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) x)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 (fma.f64 z (cos.f64 y) (neg.f64 (sin.f64 y))) x))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 y) (*.f64 z (cos.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 (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (/.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 (cos.f64 y) (/.f64 z x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (/.f64 z x))) |
(fma.f64 (*.f64 z (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (cos.f64 y) (/.f64 z x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 z x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (/.f64 z x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 y)) x) (/.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 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 (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (*.f64 x x))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
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(*.f64 (/.f64 z (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 (*.f64 z (*.f64 z (-.f64 z y))) (*.f64 (-.f64 z y) (*.f64 y y))))) (/.f64 z (*.f64 (-.f64 z y) (-.f64 z y)))) |
(*.f64 (/.f64 z (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (/.f64 z (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 z (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))))) (/.f64 z (fma.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (-.f64 z y) (-.f64 z y)))))) |
(*.f64 (/.f64 z (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (+.f64 z y)))) (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 (*.f64 z (*.f64 z (-.f64 z y))) (*.f64 (-.f64 z y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (-.f64 z y) (-.f64 z y)))))) |
(*.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (+.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
#s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sin.f64 y) (neg.f64 x))) |
(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 (neg.f64 (/.f64 x (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))) |
(/.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))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z y) (*.f64 y y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(neg.f64 (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z y) (*.f64 y y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 z y) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z y) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 z y) (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y y) (-.f64 z y)) |
(/.f64 (*.f64 y (neg.f64 y)) (neg.f64 (-.f64 z y))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 z y)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 y))) (neg.f64 (neg.f64 (-.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 z y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 z y))) |
(pow.f64 (/.f64 (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 z y) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 y (-.f64 z y))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (-.f64 z y)))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (-.f64 z y)) y) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 y (-.f64 z y))) |
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(*.f64 (/.f64 y (*.f64 (fma.f64 y (+.f64 z y) (*.f64 z z)) (-.f64 z y))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y)) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 z y) (*.f64 z z)) (-.f64 z y))) (fma.f64 y (+.f64 z y) (*.f64 z z))) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 y (+.f64 z y) (*.f64 z z)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 z y) (*.f64 z z))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 z y))) |
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y)))) (/.f64 y (-.f64 z y))) |
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 (*.f64 z (*.f64 z (-.f64 z y))) (*.f64 (-.f64 z y) (*.f64 y y))))) (/.f64 y (*.f64 (-.f64 z y) (-.f64 z y)))) |
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (/.f64 y (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))))) (/.f64 y (fma.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (-.f64 z y) (-.f64 z y)))))) |
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (+.f64 z y)))) (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 (*.f64 z (*.f64 z (-.f64 z y))) (*.f64 (-.f64 z y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (fma.f64 z (*.f64 z z) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 z y) (*.f64 (-.f64 z y) (-.f64 z y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (-.f64 z y) (-.f64 z y)))))) |
(*.f64 (/.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))) (+.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (fma.f64 z z (*.f64 y y))))) |
Compiled 18 044 to 1 377 computations (92.4% saved)
43 alts after pruning (35 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 890 | 17 | 907 |
| Fresh | 11 | 18 | 29 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 903 | 43 | 946 |
| Status | Accuracy | Program |
|---|---|---|
| 52.3% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 42.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 z (cos.f64 y))))) | |
| 45.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 63.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) | |
| 89.9% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) | |
| 88.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (*.f64 (cos.f64 y) (/.f64 z x)) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) | |
| 88.1% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 z x))) x)) | |
| ✓ | 88.0% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
| 58.8% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 x (sin.f64 y)) (*.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x (sin.f64 y)))) x)) | |
| 74.4% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) | |
| 63.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x)) | |
| 78.9% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))) x)) | |
| 58.7% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 (sin.f64 y) x)) | |
| 58.6% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) | |
| ✓ | 55.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| 50.2% | #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(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.f64 z x))) | |
| 24.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) | |
| 33.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) | |
| 39.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) | |
| ✓ | 69.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 33.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))))) | |
| 39.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ✓ | 42.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 24.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) | |
| 24.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 26.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
| 26.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) | |
| 6.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) | |
| 15.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) | |
| 5.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) | |
| 8.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) | |
| 5.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) | |
| ✓ | 28.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) |
| 18.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y))))) | |
| ✓ | 15.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) |
| ✓ | 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
| 5.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) | |
| 5.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) | |
| 5.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) | |
| 24.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) | |
| 49.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) | |
| 2.8% | #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))))) | |
| 42.4% | #s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
Compiled 1 989 to 643 computations (67.7% 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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 z (cos.f64 y))))) |
#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))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (*.f64 (cos.f64 y) (/.f64 z x)) x (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
#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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 z x))) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) (*.f64 z x))))) x)) |
#s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (sin.f64 y)) (+.f64 x (/.f64 #s(literal 1/2 binary64) (sin.f64 y))))) |
#s(approx (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))) |
(+.f64 (/.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 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x (/.f64 (fma.f64 (*.f64 z (cos.f64 y)) (/.f64 x (sin.f64 y)) (*.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 x (sin.f64 y)))) x)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(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 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) x) |
(/.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)))) |
(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))) |
(*.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))) (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 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)))))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
4 calls:
| 28.0ms | z |
| 24.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 22.0ms | y |
| 21.0ms | x |
| 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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
4 calls:
| 17.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.0ms | z |
| 15.0ms | y |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 3 | x |
| 87.7% | 5 | y |
| 92.4% | 5 | z |
| 87.6% | 5 | (+.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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 x #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 z (cos.f64 y))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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:
| 16.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 5 | z |
| 85.2% | 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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
1 calls:
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 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 (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (+.f64 x (sin.f64 y))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 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))) (+.f64 (sin.f64 y) x)) |
4 calls:
| 24.0ms | y |
| 15.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 81.2% | 3 | y |
| 69.4% | 1 | x |
| 80.3% | 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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 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:
| 16.0ms | z |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 69.4% | 1 | z |
| 69.4% | 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 z #s(approx (cos y) #s(literal 1 binary64)))) |
#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)) (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/2 binary64))) z))) |
#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 (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)))) |
#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 (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 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 (fma.f64 y #s(approx (+ (* y -1/6) (* z -1/2)) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 z x))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ z y) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#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)) #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (neg.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(approx (+ (* -1/2 (/ z y)) -1/6) (/.f64 (*.f64 z #s(literal -1/2 binary64)) y))))) (+.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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal -1/6 binary64))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (sin y) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (/.f64 (*.f64 y y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 #s(approx (/ (* z z) (- z y)) (*.f64 z (/.f64 z (neg.f64 y)))) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) #s(approx (/ (* y y) (- z y)) (-.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (neg.f64 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) (neg.f64 z))) (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (fma.f64 x (fma.f64 (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 y x) (/.f64 z x)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (-.f64 (*.f64 (*.f64 z z) (/.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) #s(literal 1 binary64))) (*.f64 (-.f64 z y) (/.f64 (-.f64 z y) (*.f64 y y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (*.f64 #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (+.f64 z x)) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 y y)) #s(literal -1/36 binary64))))))) (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 15.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | z |
| 69.4% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 16 to 11 computations (31.3% 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 | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.0% | 1 | x |
| 28.0% | 1 | y |
| 28.0% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 28.0% | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.635843922139238e-24 | 1.673684096365141e-22 |
| 15.0ms | -4.7802336062826166e-45 | -1.1174846521099594e-46 |
| 20.0ms | 223× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 379 to 224 computations (40.9% saved)
ival-cos: 5.0ms (34.7% of total)ival-sin: 5.0ms (34.7% of total)ival-add: 3.0ms (20.8% of total)ival-mult: 1.0ms (6.9% 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 |
|---|---|---|
| 13.0ms | 4.101122376025734e+96 | 8.832265055760704e+97 |
| 19.0ms | 4.464817752186505e-54 | 2.7115750936783264e-46 |
| 16.0ms | -8.498313833651382e-82 | -2.739747466766091e-86 |
| 42.0ms | -1.6907106600946675e+118 | -1.0052854278094083e+116 |
| 54.0ms | 496× | 0 | valid |
Compiled 759 to 448 computations (41% saved)
ival-sin: 14.0ms (45.2% of total)ival-cos: 9.0ms (29% of total)ival-add: 4.0ms (12.9% of total)ival-mult: 3.0ms (9.7% 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 |
|---|---|---|
| 22.0ms | 3.6767772608065955e+120 | 2.1075523652706856e+126 |
| 0.0ms | 4.464817752186505e-54 | 2.7115750936783264e-46 |
| 0.0ms | -8.498313833651382e-82 | -2.739747466766091e-86 |
| 14.0ms | -3.6007612440723393e+118 | -1.6907106600946675e+118 |
| 23.0ms | 224× | 0 | valid |
Compiled 542 to 355 computations (34.5% saved)
ival-mult: 6.0ms (34% of total)ival-sin: 5.0ms (28.3% of total)ival-cos: 4.0ms (22.7% of total)ival-add: 2.0ms (11.3% 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 |
|---|---|---|
| 13.0ms | 2.6095832257275342e-20 | 3.9725195365403016e-15 |
| 20.0ms | -752088.9843382413 | -22784.914523826465 |
| 20.0ms | 256× | 0 | valid |
Compiled 415 to 270 computations (34.9% saved)
ival-sin: 5.0ms (36.3% of total)ival-cos: 4.0ms (29.1% of total)ival-add: 2.0ms (14.5% of total)ival-mult: 2.0ms (14.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9993809977112982 | 739.6384850587208 |
| 0.0ms | 5.170069370460484e-19 | 0.031730484664129505 |
| 0.0ms | -0.08592795312753321 | -9.707725597289848e-11 |
| 0.0ms | -38.51925334471932 | -0.9944312506179384 |
Compiled 15 to 14 computations (6.7% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 534 |
| 1 | 101 | 534 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 x #s(literal -8356077830146749/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 5316911983139663/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7006037477820585/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 2159724731484083/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 13199999999999999377605959135870119396179306599706389869905172269826121042941523702761975688724480 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 -33000000000000000128504604710595721111290254125693666999044609317012125967501311479592790008106403285976488112581246976 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7006037477820585/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 2159724731484083/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 29500000000000000700195287742544160140316506797885655484632931606165918333902869556355406130207481512151330342287471280128 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 y #s(literal -23000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 4943837340890095/1267650600228229401496703205376 binary64)) #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))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -20 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 -3602879701896397/72057594037927936 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 1298074214633707/1298074214633706907132624082305024 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 1 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 -8356077830146749/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 5316911983139663/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 -8356077830146749/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 5316911983139663/42535295865117307932921825928971026432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7006037477820585/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 2159724731484083/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 13199999999999999377605959135870119396179306599706389869905172269826121042941523702761975688724480 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 -16500000000000000064252302355297860555645127062846833499522304658506062983750655739796395004053201642988244056290623488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7006037477820585/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 2159724731484083/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 13199999999999999377605959135870119396179306599706389869905172269826121042941523702761975688724480 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin 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 -33000000000000000128504604710595721111290254125693666999044609317012125967501311479592790008106403285976488112581246976 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -7006037477820585/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 2159724731484083/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 29500000000000000700195287742544160140316506797885655484632931606165918333902869556355406130207481512151330342287471280128 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -33000000000000000128504604710595721111290254125693666999044609317012125967501311479592790008106403285976488112581246976 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7006037477820585/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 2159724731484083/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 29500000000000000700195287742544160140316506797885655484632931606165918333902869556355406130207481512151330342287471280128 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -23000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 4943837340890095/1267650600228229401496703205376 binary64)) #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))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -23000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 4943837340890095/1267650600228229401496703205376 binary64)) #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))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -20 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 -3602879701896397/72057594037927936 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 1298074214633707/1298074214633706907132624082305024 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 1 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 -20 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 -3602879701896397/72057594037927936 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 1298074214633707/1298074214633706907132624082305024 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 1 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 |
| 11 492× | lower-fma.f64 |
| 11 492× | lower-fma.f32 |
| 9 856× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 561 | 6386 |
| 1 | 1780 | 6247 |
| 2 | 5899 | 6186 |
| 0 | 8344 | 5696 |
| 0 | 391 | 5920 |
| 1 | 1178 | 5837 |
| 2 | 3762 | 5719 |
| 0 | 8217 | 5231 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 852 | 633 |
| 3 | 2193 | 631 |
| 4 | 4247 | 631 |
| 5 | 7326 | 631 |
| 0 | 8046 | 578 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 403 | 4694 |
| 1 | 1237 | 4599 |
| 2 | 3609 | 4427 |
| 0 | 8375 | 4063 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 465 to 194 computations (58.3% saved)
Compiled 522 to 144 computations (72.4% saved)
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