
Time bar (total: 10.2s)
| 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)
| 915.0ms | 8 256× | 0 | valid |
ival-cos: 262.0ms (39.1% of total)ival-sin: 255.0ms (38% of total)ival-add: 86.0ms (12.8% of total)ival-mult: 58.0ms (8.6% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% 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 |
| 77.0ms | 510× | 0 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 29.0ms (54% of total)ival-sin: 12.0ms (22.4% of total)ival-add: 8.0ms (14.9% of total)ival-mult: 4.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 | 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (38.2% of total)ival-cos: 5.0ms (31.9% of total)ival-add: 2.0ms (12.7% of total)ival-mult: 2.0ms (12.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (* z (cos y)) |
| 1.0ms | z | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | x | @ | 0 | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | y | @ | 0 | (* 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))))) |
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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)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 13 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 261 | 13 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 64.5% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 (*.f64 z z) (+.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) | |
| ▶ | 99.8% | (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))) |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 81.6% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 71.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 53.6% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| 60.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) | |
| ▶ | 53.8% | #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))) |
| 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| 57.4% | #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))) | |
| ▶ | 65.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 61.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) | |
| 43.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
Compiled 386 to 224 computations (42% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 320 | (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))) |
| ✓ | cost-diff | 14208 | (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) |
| ✓ | cost-diff | 128 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.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))) |
| 9 296× | lower-fma.f32 |
| 9 286× | lower-fma.f64 |
| 2 486× | lower-*.f32 |
| 2 482× | lower-*.f64 |
| 1 800× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 192 |
| 0 | 52 | 168 |
| 1 | 97 | 168 |
| 2 | 189 | 168 |
| 3 | 450 | 168 |
| 4 | 1373 | 168 |
| 5 | 3459 | 168 |
| 0 | 8135 | 167 |
| 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 |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(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))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(-.f64 x (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(+.f64 x (fma.f64 (cos.f64 y) z (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 |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
(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))) |
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 x (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (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))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 99.7% | (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 63.8% | #s(approx (+ x (sin y)) (+.f64 y x)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 53.8% | #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 | 65.0% | #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))) |
| 120.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 175 to 29 computations (83.4% saved)
ival-cos: 45.0ms (44% of total)ival-mult: 34.0ms (33.2% of total)ival-add: 10.0ms (9.8% of total)ival-sin: 6.0ms (5.9% of total)const: 4.0ms (3.9% of total)ival-div: 2.0ms (2% of total)ival-sub: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))> |
#<alt (cos.f64 y)> |
#<alt (+.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))> |
#<alt (+.f64 z x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)))> |
#<alt (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))> |
#<alt (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))> |
#<alt (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))> |
#<alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))> |
#<alt #s(approx (+ x (sin y)) (+.f64 y x))> |
#<alt (+.f64 y x)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))> |
#<alt (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)))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))> |
| Outputs |
|---|
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x 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 (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))> |
#<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))))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<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)))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))> |
#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) 1/6))> |
#<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))> |
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) 1/6))> |
#<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))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))> |
#<alt (* -1/2 (* y z))> |
#<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 (* 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 (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (* -1/6 y)> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* y (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* -1/6 y)> |
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))> |
#<alt (* -1/6 y)> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<alt (+ (* -1/2 z) (* -1/6 y))> |
#<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)> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ 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 (+ 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 x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<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> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 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 (/ -1 (sin y))> |
#<alt (- (* -1 (/ x (pow (sin y) 2))) (/ 1 (sin y)))> |
#<alt (- (* x (- (* -1 (/ x (pow (sin y) 3))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y)))> |
#<alt (- (* x (- (* x (- (* -1 (/ x (pow (sin y) 4))) (/ 1 (pow (sin y) 3)))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (/ (sin y) x)) x)> |
#<alt (/ (- (+ 1 (/ (pow (sin y) 2) (pow x 2))) (* -1 (/ (sin y) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (sin y) 3) (pow x 3))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -1 (/ (sin y) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 2) x) (* -1 (sin y))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin y) 3) x)) (pow (sin y) 2)) x)) (* -1 (sin y))) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ y (pow x 2)))> |
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))> |
#<alt (+ (* y (+ (* y (+ (* y (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
#<alt (/ 1 (- x (sin y)))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | -inf | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | z | @ | 0 | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | x | @ | 0 | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1.0ms | z | @ | inf | (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) |
| 1× | egg-herbie |
| 9 768× | lower-fma.f64 |
| 9 768× | lower-fma.f32 |
| 4 332× | lower-*.f64 |
| 4 332× | lower-*.f32 |
| 3 772× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 3875 |
| 1 | 923 | 3807 |
| 2 | 2749 | 3681 |
| 3 | 7046 | 3650 |
| 0 | 8319 | 3322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(sin y) |
(+ 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)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* 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 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ -1 (sin y)) |
(- (* -1 (/ x (pow (sin y) 2))) (/ 1 (sin y))) |
(- (* x (- (* -1 (/ x (pow (sin y) 3))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y))) |
(- (* x (- (* x (- (* -1 (/ x (pow (sin y) 4))) (/ 1 (pow (sin y) 3)))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y))) |
(/ 1 x) |
(/ (+ 1 (/ (sin y) x)) x) |
(/ (- (+ 1 (/ (pow (sin y) 2) (pow x 2))) (* -1 (/ (sin y) x))) x) |
(/ (- (+ 1 (/ (pow (sin y) 3) (pow x 3))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (sin y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 2) x) (* -1 (sin y))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin y) 3) x)) (pow (sin y) 2)) x)) (* -1 (sin y))) x)) 1) x)) |
(/ 1 x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (* y (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
(/ 1 (- x (sin y))) |
| Outputs |
|---|
(+ x z) |
(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (-.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (-.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (-.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64))) |
(+ (sin y) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (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 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 (*.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))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 x (/.f64 (sin.f64 y) x) x) |
x |
(+ x y) |
(+.f64 x y) |
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(+.f64 x z) |
(+ x (+ y z)) |
(+.f64 x (+.f64 z y)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (-.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (-.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (-.f64 (neg.f64 (sin.f64 y)) x) #s(literal 1 binary64))) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(- (* -1 (/ x (pow (sin y) 2))) (/ 1 (sin y))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(- (* x (- (* -1 (/ x (pow (sin y) 3))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y))) |
(fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(- (* x (- (* x (- (* -1 (/ x (pow (sin y) 4))) (/ 1 (pow (sin y) 3)))) (/ 1 (pow (sin y) 2)))) (/ 1 (sin y))) |
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ (sin y) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) |
(/ (- (+ 1 (/ (pow (sin y) 2) (pow x 2))) (* -1 (/ (sin y) x))) x) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ (pow (sin y) 3) (pow x 3))) (+ (* -1 (/ (sin y) x)) (* -1 (/ (pow (sin y) 2) (pow x 2))))) x) |
(/.f64 (+.f64 (fma.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (sin y) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin y) 2) x) (* -1 (sin y))) x)) 1) x)) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin y) 3) x)) (pow (sin y) 2)) x)) (* -1 (sin y))) x)) 1) x)) |
(/.f64 (+.f64 (fma.f64 (sin.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 y (*.f64 x (*.f64 x x))) (/.f64 y (*.f64 x x)))) |
(+ (* y (+ (* y (+ (* y (- (/ 1 (pow x 4)) (* 1/6 (/ 1 (pow x 2))))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 y (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x x)))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/ 1 (- x (sin y))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 5 672× | lower-fma.f32 |
| 5 662× | lower-fma.f64 |
| 4 204× | lower-*.f32 |
| 4 200× | lower-*.f64 |
| 3 814× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 150 |
| 0 | 52 | 126 |
| 1 | 226 | 126 |
| 2 | 1835 | 126 |
| 0 | 8425 | 125 |
| 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))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
(*.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(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))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
| Outputs |
|---|
(+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) |
(+.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.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 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 x (sin.f64 y)) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.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))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (/.f64 (-.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 (cos.f64 y) z)) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (+.f64 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)))))) (/.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (/.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (-.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 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y)))) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.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) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y))))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y))))) #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (-.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y))))) (/.f64 (+.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (-.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 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.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 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))) (-.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (-.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (-.f64 x (sin.f64 y)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (-.f64 x (sin.f64 y)) (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y))))) (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (/.f64 (-.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 #s(literal -1 binary64) (-.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
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(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (*.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 (cos.f64 y) z)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) |
(/.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 (neg.f64 (neg.f64 (-.f64 x (sin.f64 y)))))) |
(pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (sin.f64 y) (+.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (+.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 y)) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) |
Compiled 36 401 to 1 895 computations (94.8% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 186 | 22 | 1 208 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 193 | 28 | 1 221 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
| 71.6% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) | |
| 60.1% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) | |
| 81.6% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) | |
| 52.9% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) | |
| 53.8% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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))))) | |
| 53.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) | |
| 53.6% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| ▶ | 99.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
| ▶ | 53.8% | #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))) |
| 26.4% | #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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) | |
| 49.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) | |
| 89.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) | |
| ▶ | 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) | |
| 31.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) | |
| 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 65.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ▶ | 61.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
| 20.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) | |
| 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))) | |
| 31.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ▶ | 43.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 25.7% | #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))) | |
| 29.7% | #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) | |
| 5.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) | |
| 59.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 x (/.f64 z x) x))) |
Compiled 900 to 497 computations (44.8% 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 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
| ✓ | 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 x) |
| ✓ | cost-diff | 0 | (+.f64 y (+.f64 z x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
| ✓ | cost-diff | 704 | (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
| 5 214× | lower-fma.f32 |
| 5 206× | lower-fma.f64 |
| 4 014× | lower-*.f32 |
| 4 000× | lower-*.f64 |
| 2 838× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 269 |
| 0 | 63 | 257 |
| 1 | 111 | 257 |
| 2 | 174 | 257 |
| 3 | 215 | 257 |
| 4 | 252 | 256 |
| 5 | 381 | 256 |
| 6 | 550 | 256 |
| 7 | 936 | 256 |
| 8 | 1829 | 256 |
| 9 | 3488 | 256 |
| 10 | 6234 | 256 |
| 11 | 7902 | 256 |
| 0 | 8146 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
z |
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
(+.f64 y (+.f64 z x)) |
y |
(+.f64 z x) |
z |
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))) |
(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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
(*.f64 x (-.f64 x z)) |
(-.f64 x z) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
z |
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 x z))) |
(+.f64 y (+.f64 z x)) |
(+.f64 y (+.f64 x z)) |
y |
(+.f64 z x) |
(+.f64 x z) |
z |
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))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 x z))) |
(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 x z)) |
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) |
(+.f64 x z) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(*.f64 x (-.f64 x z)) |
(-.f64 x z) |
#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 | 43.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 95.3% | (fma.f64 z z (*.f64 x (-.f64 x z))) |
| ✓ | accuracy | 95.1% | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | accuracy | 65.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
| ✓ | accuracy | 34.6% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
| ✓ | 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 | 53.8% | #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 | 33.8% | #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 z x) |
| ✓ | accuracy | 100.0% | (+.f64 y (+.f64 z x)) |
| ✓ | accuracy | 61.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
| ✓ | accuracy | 100.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
| ✓ | accuracy | 99.8% | (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) z) |
| 79.0ms | 256× | 0 | valid |
Compiled 200 to 37 computations (81.5% saved)
ival-mult: 24.0ms (41.1% of total)ival-add: 12.0ms (20.5% of total)ival-sin: 7.0ms (12% of total)ival-cos: 7.0ms (12% of total)const: 4.0ms (6.8% of total)ival-div: 3.0ms (5.1% of total)ival-sub: 1.0ms (1.7% 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 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x))> |
#<alt (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))> |
#<alt (cos.f64 y)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x)))> |
#<alt (+.f64 y (+.f64 z x))> |
#<alt (+.f64 z x)> |
#<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 #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z)))))> |
#<alt (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))> |
#<alt (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))> |
#<alt (*.f64 x x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (/.f64 (sin.f64 y) z)> |
#<alt (*.f64 y #s(literal -1/2 binary64))> |
#<alt (fma.f64 z z (*.f64 x (-.f64 x z)))> |
| 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 (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (/ (sin y) z)))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt (+ x (* z (+ (cos y) (/ (sin y) z))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))> |
#<alt (* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))> |
#<alt (* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt 1> |
#<alt (+ 1 (/ y z))> |
#<alt (+ 1 (* y (+ (* -1/2 y) (/ 1 z))))> |
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z))))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (/ (sin y) z)> |
#<alt (/ (+ (sin y) (* z (cos y))) z)> |
#<alt (/ (+ (sin y) (* z (cos y))) z)> |
#<alt (/ (+ (sin y) (* z (cos y))) z)> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<alt (+ (cos y) (/ (sin y) z))> |
#<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))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt y> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt z> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (+ y z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x 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 (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))> |
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))> |
#<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))))))> |
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))> |
#<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)))> |
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (* y z)))> |
#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))> |
#<alt (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) 1/6))> |
#<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))> |
#<alt (* (pow y 2) (- (* -1/2 (/ z y)) 1/6))> |
#<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))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))> |
#<alt (* -1/2 (* y z))> |
#<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 (* 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 (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1/2 (* 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 (+ 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> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))> |
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))> |
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))> |
#<alt (pow z 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow z 3)> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (pow z 3)> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (+ (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 (/ y z)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<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 (pow x 2)> |
#<alt (+ (* -1 (* x z)) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x z)) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | (+ (+ x (sin y)) (* z (cos y))) |
| 2.0ms | x | @ | -inf | (+ y (+ z x)) |
| 1.0ms | x | @ | 0 | (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) |
| 1.0ms | z | @ | 0 | (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) |
| 1.0ms | z | @ | -inf | (+ (* z (+ (cos y) (/ (sin y) z))) x) |
| 1× | egg-herbie |
| 11 746× | lower-fma.f64 |
| 11 746× | lower-fma.f32 |
| 3 896× | lower-+.f64 |
| 3 896× | lower-+.f32 |
| 3 728× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 4671 |
| 1 | 1194 | 4568 |
| 2 | 3857 | 4466 |
| 0 | 8164 | 4126 |
| 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 (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(* z (+ (cos y) (/ (sin y) z))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
(+ x (* z (+ (cos y) (/ (sin y) z)))) |
x |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
(* x (+ 1 (/ (* z (+ (cos y) (/ (sin y) z))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (+ (cos y) (/ (sin y) z))) x)) 1))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
1 |
(+ 1 (/ y z)) |
(+ 1 (* y (+ (* -1/2 y) (/ 1 z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ y z)) 1/2)) (/ 1 z)))) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(/ (sin y) z) |
(/ (+ (sin y) (* z (cos y))) z) |
(/ (+ (sin y) (* z (cos y))) z) |
(/ (+ (sin y) (* z (cos y))) z) |
(cos y) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(cos y) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
(+ (cos y) (/ (sin y) z)) |
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))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ (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)) |
(+ (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 |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(pow z 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(pow x 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (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)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(* -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) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(pow z 2) |
(+ (* -1 (* x z)) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
| Outputs |
|---|
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (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)))) |
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(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 z (*.f64 z (fma.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* x z)) (pow z 2)) |
(*.f64 z (-.f64 z x)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(fma.f64 x (-.f64 x z) (*.f64 z z)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 (/.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 (/.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 (/.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 (/.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 1× | batch-egg-rewrite |
| 5 694× | lower-fma.f32 |
| 5 686× | lower-fma.f64 |
| 4 532× | lower-*.f32 |
| 4 518× | lower-*.f64 |
| 4 336× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 232 |
| 0 | 63 | 210 |
| 1 | 256 | 197 |
| 2 | 2141 | 197 |
| 0 | 9080 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
(+.f64 y (+.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 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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(*.f64 x x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(*.f64 y #s(literal -1/2 binary64)) |
(fma.f64 z z (*.f64 x (-.f64 x z))) |
| Outputs |
|---|
(+.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(+.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(+.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) |
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x) |
(fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.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 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.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 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) #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 (fma.f64 (sin.f64 y) #s(literal 1 binary64) x) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x)) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 z (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 z (cos.f64 y))) (+.f64 x (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.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 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) #s(literal 1 binary64))) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (fma.f64 (sin.f64 y) #s(literal 1 binary64) x))) |
(+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) |
(+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(fma.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (cos.f64 y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64))) (fma.f64 (/.f64 (sin.f64 y) z) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))) (*.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (-.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z (sin.f64 y)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))) (*.f64 z (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))) (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x (*.f64 x (-.f64 x z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 x z)) (-.f64 (*.f64 x (-.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))) |
(*.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z))))) |
Compiled 27 490 to 1 397 computations (94.9% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 036 | 29 | 1 065 |
| Fresh | 12 | 9 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 052 | 41 | 1 093 |
| Status | Accuracy | Program |
|---|---|---|
| 60.1% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) | |
| 81.6% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) | |
| 53.6% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) | |
| 73.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) x)) | |
| 58.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) | |
| 82.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) | |
| ✓ | 53.8% | #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))) |
| 26.4% | #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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) | |
| 89.6% | #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)) | |
| ▶ | 89.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
| 15.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) | |
| ▶ | 9.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
| 12.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) | |
| 13.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) | |
| 23.6% | #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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) | |
| 9.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) | |
| 12.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) | |
| 64.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) | |
| ▶ | 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 65.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) | |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) | |
| 19.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) | |
| 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) | |
| 31.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ✓ | 43.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 25.9% | #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))))) | |
| 26.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| 25.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 27.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) | |
| 52.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) | |
| 59.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) | |
| 60.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (+ (cos y) (/ (sin y) z))) x) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))))) | |
| 89.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (+ (cos y) (/ (sin y) z))) x) (*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 binary64))))) | |
| 29.7% | #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) | |
| 30.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) | |
| ▶ | 36.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
| ▶ | 41.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
| 25.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
Compiled 1 476 to 729 computations (50.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) |
| ✓ | cost-diff | 0 | #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
| ✓ | cost-diff | 1152 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | #s(approx (+ y (+ z x)) (+.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
| ✓ | cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
| ✓ | cost-diff | 896 | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| 3 702× | lower-fma.f32 |
| 3 696× | lower-fma.f64 |
| 1 738× | lower-*.f32 |
| 1 728× | lower-*.f64 |
| 1 456× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 289 |
| 0 | 64 | 265 |
| 1 | 100 | 265 |
| 2 | 161 | 265 |
| 3 | 271 | 262 |
| 4 | 532 | 252 |
| 5 | 1383 | 252 |
| 6 | 2643 | 252 |
| 7 | 4475 | 252 |
| 8 | 6743 | 252 |
| 9 | 7876 | 252 |
| 0 | 8103 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
x |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ y (+ z x)) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 x z) y) |
(+.f64 x z) |
x |
z |
y |
(neg.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
#s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))) |
(*.f64 z (-.f64 z x)) |
(-.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) |
x |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
z |
(cos.f64 y) |
y |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ y (+ z x)) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x (+.f64 y z)))) |
#s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))) |
#s(approx (+ y (+ z x)) (+.f64 x (+.f64 y z))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)) |
(+.f64 x (+.f64 y z)) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 x z) y) |
(+.f64 x z) |
x |
z |
y |
(neg.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) |
x |
(*.f64 x x) |
(*.f64 z (*.f64 z z)) |
z |
(*.f64 z z) |
#s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))) |
(*.f64 z (-.f64 z x)) |
(-.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 x (sin.f64 y))) |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (sin.f64 y) x) |
| ✓ | accuracy | 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 95.1% | (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
| ✓ | accuracy | 65.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
| ✓ | accuracy | 57.7% | #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))) |
| ✓ | accuracy | 34.6% | (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))) |
| ✓ | accuracy | 100.0% | #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x z) y) |
| ✓ | accuracy | 80.0% | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)) |
| ✓ | accuracy | 61.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 64.6% | #s(approx (+ y (+ z x)) (+.f64 x y)) |
| ✓ | accuracy | 61.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
| ✓ | accuracy | 100.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
| ✓ | accuracy | 89.6% | (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
| 101.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 199 to 35 computations (82.4% saved)
ival-div: 25.0ms (35.1% of total)ival-add: 15.0ms (21.1% of total)ival-mult: 14.0ms (19.6% of total)ival-sin: 7.0ms (9.8% of total)ival-cos: 5.0ms (7% of total)ival-sub: 3.0ms (4.2% of total)ival-neg: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x))> |
#<alt (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)> |
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y)))> |
#<alt #s(approx (+ y (+ z x)) (+.f64 x y))> |
#<alt (+.f64 x y)> |
#<alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))))> |
#<alt #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))> |
#<alt (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y))> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))> |
#<alt (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))> |
#<alt (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))> |
#<alt (*.f64 x x)> |
#<alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))> |
#<alt (+.f64 (sin.f64 y) x)> |
#<alt (sin.f64 y)> |
#<alt (/.f64 (+.f64 x z) y)> |
#<alt #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))> |
| Outputs |
|---|
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x (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 (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (/ (sin y) x)> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))> |
#<alt (/ (* z (cos y)) x)> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))> |
#<alt (/ z x)> |
#<alt (+ (/ y x) (/ z x))> |
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))> |
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))> |
#<alt (/ (+ (sin y) (* 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 (/ (+ (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 (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<alt (/ (+ (sin y) (* z (cos y))) x)> |
#<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 (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt y> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt z> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (+ y z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* y (+ 1 (/ z y)))> |
#<alt (+ x (* y (+ 1 (/ z y))))> |
#<alt (+ x (* y (+ 1 (/ z y))))> |
#<alt (+ x (* y (+ 1 (/ z y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (+ 1 (/ z y))) x)))> |
#<alt (* x (+ 1 (/ (* y (+ 1 (/ z y))) x)))> |
#<alt (* x (+ 1 (/ (* y (+ 1 (/ z y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (/ z y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (/ z y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 1 (/ z y))) x)) 1)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (+ z (* y (+ 1 (/ x y))))> |
#<alt (+ z (* y (+ 1 (/ x y))))> |
#<alt (+ z (* y (+ 1 (/ x y))))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* y (+ 1 (/ x y))) z)))> |
#<alt (* z (+ 1 (/ (* y (+ 1 (/ x y))) z)))> |
#<alt (* z (+ 1 (/ (* y (+ 1 (/ x y))) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* y (+ 1 (/ x y))) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* y (+ 1 (/ x y))) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* y (+ 1 (/ x y))) z)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt y> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) 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 (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt y> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt (* y (+ 1 (+ (/ x y) (/ z y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))> |
#<alt (+ x y)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt z> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt (* z (+ 1 (+ (/ x z) (/ y z))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))> |
#<alt (+ y z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ y z))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt (* x (+ 1 (+ (/ y x) (/ z x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))> |
#<alt (* -1 (+ 1 (/ z y)))> |
#<alt (- (* -1 (/ x y)) (+ 1 (/ z y)))> |
#<alt (- (* -1 (/ x y)) (+ 1 (/ z y)))> |
#<alt (- (* -1 (/ x y)) (+ 1 (/ z y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))> |
#<alt (* x (- (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))> |
#<alt (* x (- (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (+ (/ 1 x) (+ (/ 1 y) (/ z (* x y))))))> |
#<alt (* -1 (* x (+ (/ 1 x) (+ (/ 1 y) (/ z (* x y))))))> |
#<alt (* -1 (* x (+ (/ 1 x) (+ (/ 1 y) (/ z (* x y))))))> |
#<alt (* -1 (+ 1 (/ x y)))> |
#<alt (- (* -1 (/ z y)) (+ 1 (/ x y)))> |
#<alt (- (* -1 (/ z y)) (+ 1 (/ x y)))> |
#<alt (- (* -1 (/ z y)) (+ 1 (/ x y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* z (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))> |
#<alt (* z (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))> |
#<alt (* z (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))> |
#<alt (* -1 (/ z y))> |
#<alt (* -1 (* z (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z))))))> |
#<alt (* -1 (* z (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z))))))> |
#<alt (* -1 (* z (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z))))))> |
#<alt (* -1 (/ (+ x z) y))> |
#<alt (/ (- (* -1 y) (+ x z)) y)> |
#<alt (/ (- (* -1 y) (+ x z)) y)> |
#<alt (/ (- (* -1 y) (+ x z)) y)> |
#<alt -1> |
#<alt (- (* -1 (/ (+ x z) y)) 1)> |
#<alt (- (* -1 (/ (+ x z) y)) 1)> |
#<alt (- (* -1 (/ (+ x z) y)) 1)> |
#<alt -1> |
#<alt (- (* -1 (/ (+ x z) y)) 1)> |
#<alt (- (* -1 (/ (+ x z) y)) 1)> |
#<alt (- (* -1 (/ (+ x z) 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 z> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt x> |
#<alt (* x (+ 1 (/ z x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))> |
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))> |
#<alt x> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt (+ x z)> |
#<alt z> |
#<alt (* z (+ 1 (/ x z)))> |
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))> |
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))> |
#<alt (pow z 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))> |
#<alt (pow x 3)> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))> |
#<alt (pow x 3)> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (+ (pow x 3) (pow z 3))> |
#<alt (pow z 3)> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))> |
#<alt (pow z 3)> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (+ (sin y) (* z (cos y)))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))> |
#<alt (+ x z)> |
#<alt (+ x (+ y z))> |
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))> |
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (+ x (+ (sin y) (* z (cos y))))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (sin y)> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt (+ x (sin y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt (* x (+ 1 (/ (sin y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1)))> |
#<alt 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 y)> |
#<alt (+ (/ x y) (/ z y))> |
#<alt (+ (/ x y) (/ z y))> |
#<alt (+ (/ x y) (/ z y))> |
#<alt (/ x y)> |
#<alt (* x (+ (/ 1 y) (/ z (* x y))))> |
#<alt (* x (+ (/ 1 y) (/ z (* x y))))> |
#<alt (* x (+ (/ 1 y) (/ z (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y))))> |
#<alt (/ x y)> |
#<alt (+ (/ x y) (/ z y))> |
#<alt (+ (/ x y) (/ z y))> |
#<alt (+ (/ x y) (/ z y))> |
#<alt (/ z y)> |
#<alt (* z (+ (/ 1 y) (/ x (* y z))))> |
#<alt (* z (+ (/ 1 y) (/ x (* y z))))> |
#<alt (* z (+ (/ 1 y) (/ x (* y z))))> |
#<alt (/ z y)> |
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))> |
#<alt (* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y))))> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (/ (+ x z) y)> |
#<alt (pow x 2)> |
#<alt (+ (* -1 (* x z)) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (+ (* z (+ z (* -1 x))) (pow x 2))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ x z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z))))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* x z)) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (+ (* x (+ x (* -1 z))) (pow z 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ z x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x))))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (/ (+ x z) y) |
| 1.0ms | x | @ | 0 | (/ (+ (* z (cos y)) (sin y)) x) |
| 1.0ms | x | @ | 0 | (* (- -1 (/ (+ x z) y)) (neg y)) |
| 0.0ms | y | @ | -inf | (* (- -1 (/ (+ x z) y)) (neg y)) |
| 0.0ms | x | @ | inf | (* (- -1 (/ (+ x z) y)) (neg y)) |
| 1× | egg-herbie |
| 10 928× | lower-fma.f64 |
| 10 928× | lower-fma.f32 |
| 4 296× | lower-+.f64 |
| 4 296× | lower-+.f32 |
| 3 016× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 5022 |
| 1 | 1125 | 4923 |
| 2 | 3515 | 4765 |
| 0 | 8169 | 4425 |
| 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 (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))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (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) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ 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 (+ y z)) |
(+ x (+ y z)) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* y (+ 1 (/ z y))) |
(+ x (* y (+ 1 (/ z y)))) |
(+ x (* y (+ 1 (/ z y)))) |
(+ x (* y (+ 1 (/ z y)))) |
x |
(* x (+ 1 (/ (* y (+ 1 (/ z y))) x))) |
(* x (+ 1 (/ (* y (+ 1 (/ z y))) x))) |
(* x (+ 1 (/ (* y (+ 1 (/ z y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (/ z y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (+ 1 (/ z y))) x)) 1))) |
(* y (+ 1 (/ x y))) |
(+ z (* y (+ 1 (/ x y)))) |
(+ z (* y (+ 1 (/ x y)))) |
(+ z (* y (+ 1 (/ x y)))) |
z |
(* z (+ 1 (/ (* y (+ 1 (/ x y))) z))) |
(* z (+ 1 (/ (* y (+ 1 (/ x y))) z))) |
(* z (+ 1 (/ (* y (+ 1 (/ x y))) z))) |
z |
(* -1 (* z (- (* -1 (/ (* y (+ 1 (/ x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* y (+ 1 (/ x y))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* y (+ 1 (/ x y))) z)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x 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 (+ y z)) |
(+ x (+ y z)) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (+ 1 (/ z y))) |
(- (* -1 (/ x y)) (+ 1 (/ z y))) |
(- (* -1 (/ x y)) (+ 1 (/ z y))) |
(- (* -1 (/ x y)) (+ 1 (/ z y))) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y))) |
(* x (- (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y))) |
(* x (- (* -1 (/ (+ 1 (/ z y)) x)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (+ (/ 1 y) (/ z (* x y)))))) |
(* -1 (* x (+ (/ 1 x) (+ (/ 1 y) (/ z (* x y)))))) |
(* -1 (* x (+ (/ 1 x) (+ (/ 1 y) (/ z (* x y)))))) |
(* -1 (+ 1 (/ x y))) |
(- (* -1 (/ z y)) (+ 1 (/ x y))) |
(- (* -1 (/ z y)) (+ 1 (/ x y))) |
(- (* -1 (/ z y)) (+ 1 (/ x y))) |
(* -1 (/ z y)) |
(* z (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* z (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* z (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z)))))) |
(* -1 (* z (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z)))))) |
(* -1 (* z (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z)))))) |
(* -1 (/ (+ x z) y)) |
(/ (- (* -1 y) (+ x z)) y) |
(/ (- (* -1 y) (+ x z)) y) |
(/ (- (* -1 y) (+ x z)) y) |
-1 |
(- (* -1 (/ (+ x z) y)) 1) |
(- (* -1 (/ (+ x z) y)) 1) |
(- (* -1 (/ (+ x z) y)) 1) |
-1 |
(- (* -1 (/ (+ x z) y)) 1) |
(- (* -1 (/ (+ x z) y)) 1) |
(- (* -1 (/ (+ x 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))))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
x |
(* x (+ 1 (/ z x))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x)))) |
(* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
z |
(* z (+ 1 (/ x z))) |
(* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z)))) |
(* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1))) |
(pow z 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1))) |
(pow x 3) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(+ (pow x 3) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3)))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (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 y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
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 y) |
(+ (/ x y) (/ z y)) |
(+ (/ x y) (/ z y)) |
(+ (/ x y) (/ z y)) |
(/ x y) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(* x (+ (/ 1 y) (/ z (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ z (* x y))) (/ 1 y)))) |
(/ x y) |
(+ (/ x y) (/ z y)) |
(+ (/ x y) (/ z y)) |
(+ (/ x y) (/ z y)) |
(/ z y) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(* z (+ (/ 1 y) (/ x (* y z)))) |
(/ z y) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ x (* y z))) (/ 1 y)))) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(/ (+ x z) y) |
(pow x 2) |
(+ (* -1 (* x z)) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(+ (* z (+ z (* -1 x))) (pow x 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (+ (* -1 (/ x z)) (/ (pow x 2) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ x z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(* (pow z 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) z))) z)))) |
(pow z 2) |
(+ (* -1 (* x z)) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(+ (* x (+ x (* -1 z))) (pow z 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(* (pow x 2) (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ z x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
| 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)))) |
(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))) |
(+ 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 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 (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)))))) |
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(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ z (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (*.f64 x x) (fma.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))) |
| 1× | batch-egg-rewrite |
| 4 994× | lower-/.f32 |
| 4 988× | lower-/.f64 |
| 4 186× | lower-*.f32 |
| 4 176× | lower-*.f64 |
| 2 792× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 251 |
| 0 | 64 | 237 |
| 1 | 254 | 237 |
| 2 | 2165 | 235 |
| 0 | 8547 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ y (+ z x)) (+.f64 x y)) |
(+.f64 x y) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))) |
(fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) |
(*.f64 x x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
(/.f64 (+.f64 x z) y) |
#s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))))) |
(fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x) |
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x x) |
(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) (neg.f64 x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) #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 (*.f64 z (cos.f64 y)) (sin.f64 y))) x) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 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 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x)) |
(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (neg.f64 x)) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (*.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.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) x)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) |
(/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.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) x))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(pow.f64 (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) |
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)) |
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(*.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 x z) (-.f64 x z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 x z) (-.f64 z x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
#s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))) |
Compiled 16 720 to 1 249 computations (92.5% saved)
56 alts after pruning (51 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 880 | 25 | 905 |
| Fresh | 7 | 26 | 33 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 890 | 56 | 946 |
| Status | Accuracy | Program |
|---|---|---|
| 60.1% | (fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) | |
| 81.6% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) | |
| 81.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)) | |
| 73.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) x)) | |
| 58.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) | |
| 82.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) | |
| ✓ | 53.8% | #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))) |
| 89.6% | #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)) | |
| 64.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) x)) | |
| 72.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) | |
| 89.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) | |
| 51.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) | |
| 59.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) | |
| 15.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) | |
| 12.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) | |
| 13.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) | |
| 23.6% | #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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) | |
| 9.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) | |
| 12.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) | |
| 2.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) | |
| 64.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) | |
| ✓ | 56.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| 27.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) | |
| 29.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) | |
| ✓ | 65.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 9.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) | |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) | |
| 19.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) | |
| 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) | |
| 89.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)) x)) | |
| 31.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) | |
| ✓ | 43.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| 25.9% | #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))))) | |
| 26.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) | |
| 25.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| 27.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 52.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) | |
| 60.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (+ (cos y) (/ (sin y) z))) x) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))))) | |
| 29.7% | #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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) | |
| 2.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))) | |
| 28.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (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))) | |
| 18.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 30.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) | |
| ✓ | 36.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
| 40.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) | |
| 31.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) | |
| 31.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) | |
| 35.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) | |
| 17.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) | |
| 30.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) | |
| 6.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) | |
| 40.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) | |
| 36.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) | |
| 20.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) | |
| 46.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) | |
| 25.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
Compiled 2 338 to 757 computations (67.6% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin 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))) #s(approx (+ (* z (+ (cos y) (/ (sin y) z))) x) (*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (+ (cos y) (/ (sin y) z))) x) (*.f64 x (fma.f64 (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)) (/.f64 z x) #s(literal 1 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 #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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x (-.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (/.f64 (sin.f64 y) z) (cos.f64 y))) x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
4 calls:
| 27.0ms | x |
| 26.0ms | z |
| 26.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 25.0ms | y |
| 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 (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x (/.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
4 calls:
| 21.0ms | y |
| 21.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 21.0ms | z |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 3 | x |
| 88.9% | 2 | y |
| 99.2% | 3 | z |
| 99.1% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) |
3 calls:
| 19.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | z |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 1 | x |
| 98.8% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 95.7% | 3 | z |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
4 calls:
| 22.0ms | y |
| 19.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | x |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 3 | x |
| 85.3% | 4 | y |
| 81.3% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 86.0% | 4 | z |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
2 calls:
| 38.0ms | y |
| 18.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 3 | y |
| 78.2% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (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 (+ (sin y) x) (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 (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 32.0ms | z |
| 21.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 65.0% | 1 | z |
| 69.7% | 3 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) x) (/.f64 x (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (fma.f64 z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 z (neg.f64 y)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#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 -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) 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))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z x) (*.f64 x x)))))) |
#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 #s(literal -1/2 binary64) (*.f64 z y))) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) (-.f64 (+.f64 z x) (*.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x z) (fma.f64 z z (*.f64 x (-.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))) (-.f64 (*.f64 z z) (*.f64 x (-.f64 x z)))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 20.0ms | y |
| 19.0ms | x |
| 17.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 3 | y |
| 68.8% | 3 | x |
| 69.2% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x)) (*.f64 (*.f64 y (*.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 x (/.f64 (fma.f64 y (/.f64 z y) y) x) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z)))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x x)))) |
#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))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 x (-.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 z (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) #s(approx (/ (+ x z) y) (fma.f64 x (/.f64 z (*.f64 y x)) (/.f64 x y)))) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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))) (+.f64 z x)) |
1 calls:
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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))) (*.f64 z #s(approx (cos y) (fma.f64 y (*.f64 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 (+ (sin y) x) (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))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 x (*.f64 x x))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(approx (+ (* x (* x x)) (* z (* z z))) (*.f64 z (*.f64 z z))) #s(approx (+ (* z z) (* x (- x z))) (*.f64 z (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.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))) (+.f64 z x)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
#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 z #s(approx (+ (cos y) (/ (sin y) z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z x) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.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))) (+.f64 z x)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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 (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) #s(literal -1 binary64)) (neg.f64 y)))) |
#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 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (* (- -1 (/ (+ x z) y)) (neg y)) (fma.f64 y (/.f64 z y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x)))) |
#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 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 x (/.f64 z x) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (+ (* x (* x x)) (* z (* z z))) (+ (* z z) (* x (- x z)))) (fma.f64 z (/.f64 x z) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 x #s(approx (/ (+ (* z (cos y)) (sin y)) x) (/.f64 z x)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y y) y)) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y #s(approx (+ (* y (+ (* y -1/6) (* z -1/2))) 1) (*.f64 z (*.f64 y #s(literal -1/2 binary64)))) (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 x (neg.f64 y))) (neg.f64 y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (*.f64 #s(approx (- -1 (/ (+ x z) y)) (/.f64 z (neg.f64 y))) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 7.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 69.2% | 3 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#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)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 3.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 3 | x |
| 65.0% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 65.0% | 1 | y |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
4 calls:
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 45.3% | 5 | y |
| 50.4% | 3 | z |
| 52.5% | 3 | x |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.6% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 36.6% | 1 | y |
| 36.6% | 1 | z |
| 36.6% | 1 | x |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 0.0859030164095852 | 93781954710.15681 |
| 21.0ms | -6.825725943922825e+25 | -49664433.407312386 |
| 36.0ms | 320× | 0 | valid |
Compiled 475 to 294 computations (38.1% saved)
ival-sin: 8.0ms (40.6% of total)ival-cos: 6.0ms (30.4% of total)ival-add: 3.0ms (15.2% of total)ival-mult: 2.0ms (10.1% 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 |
|---|---|---|
| 21.0ms | 1.216101781190103e-11 | 1.4604756262231065e-10 |
| 26.0ms | -1.8347387693234998e-22 | -3.691678232236981e-28 |
| 38.0ms | 240× | 0 | valid |
Compiled 315 to 194 computations (38.4% saved)
ival-sin: 6.0ms (40.6% of total)ival-cos: 5.0ms (33.8% of total)ival-add: 2.0ms (13.5% of total)ival-mult: 2.0ms (13.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0859030164095852 | 93781954710.15681 |
| 29.0ms | -4.2727147129814947e-45 | -3.799990329607384e-48 |
| 15.0ms | -1.7820620935588673e+131 | -1.0011112890851334e+128 |
| 45.0ms | 384× | 0 | valid |
Compiled 467 to 310 computations (33.6% saved)
ival-cos: 21.0ms (59.7% of total)ival-sin: 8.0ms (22.8% of total)ival-add: 3.0ms (8.5% of total)ival-mult: 3.0ms (8.5% 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 |
|---|---|---|
| 234.0ms | 0.27739869641040776 | 2834.176686299195 |
| 8.0ms | -0.014215202539804265 | -0.007023967667014191 |
| 233.0ms | 208× | 0 | valid |
Compiled 522 to 300 computations (42.5% saved)
ival-sin: 3.0ms (33.6% of total)ival-add: 2.0ms (22.4% of total)ival-cos: 2.0ms (22.4% of total)ival-mult: 2.0ms (22.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9966946085139113 | 13.710590084245986 |
| 0.0ms | 5.301230403013773e-6 | 0.137716173442191 |
| 0.0ms | -0.014214723795613083 | -0.0003104493082734354 |
| 0.0ms | -15.478639530632751 | -0.9908262328397424 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.27739869641040776 | 2834.176686299195 |
| 26.0ms | -168083714694478500.0 | -0.014215202539804265 |
| 33.0ms | 272× | 0 | valid |
Compiled 699 to 392 computations (43.9% saved)
ival-cos: 11.0ms (42.9% of total)ival-sin: 10.0ms (39% of total)ival-add: 3.0ms (11.7% of total)ival-mult: 2.0ms (7.8% 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 |
|---|---|---|
| 1.0ms | 0.27739869641040776 | 2834.176686299195 |
| 1.0ms | -168083714694478500.0 | -0.014215202539804265 |
Compiled 663 to 392 computations (40.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.27739869641040776 | 2834.176686299195 |
| 20.0ms | -2.4833276104354857e+36 | -4.46323532316016e+33 |
| 24.0ms | 208× | 0 | valid |
Compiled 511 to 302 computations (40.9% saved)
ival-sin: 9.0ms (48.5% of total)ival-cos: 6.0ms (32.4% of total)ival-add: 2.0ms (10.8% of total)ival-mult: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.27739869641040776 | 2834.176686299195 |
| 17.0ms | -4.46323532316016e+33 | -1.7663707050419897e+32 |
| 13.0ms | 112× | 0 | valid |
Compiled 420 to 269 computations (36% saved)
ival-sin: 4.0ms (41.5% of total)ival-cos: 3.0ms (31.1% of total)ival-add: 1.0ms (10.4% of total)ival-mult: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.3558297167000825e+45 | 3.806291441494964e+47 |
| 10.0ms | -2.4833276104354857e+36 | -4.46323532316016e+33 |
| 20.0ms | 176× | 0 | valid |
Compiled 375 to 239 computations (36.3% saved)
ival-cos: 6.0ms (37.9% of total)ival-sin: 6.0ms (37.9% of total)ival-add: 2.0ms (12.6% of total)ival-mult: 1.0ms (6.3% 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 |
|---|---|---|
| 16.0ms | 631250984753.9088 | 44552950057936.6 |
| 18.0ms | -168083714694478500.0 | -0.014215202539804265 |
| 22.0ms | 224× | 0 | valid |
Compiled 321 to 201 computations (37.4% saved)
ival-sin: 7.0ms (41.9% of total)ival-cos: 6.0ms (35.9% of total)ival-add: 2.0ms (12% of total)ival-mult: 2.0ms (12% 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 |
|---|---|---|
| 55.0ms | 1.9546205445311453e-252 | 4.3447323552419626e-241 |
| 18.0ms | -2.6694013887952954e-74 | -1.3881695132397285e-78 |
| 63.0ms | 288× | 0 | valid |
Compiled 321 to 194 computations (39.6% saved)
ival-add: 39.0ms (73.9% of total)ival-sin: 7.0ms (13.3% of total)ival-cos: 5.0ms (9.5% of total)ival-mult: 2.0ms (3.8% 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 |
|---|---|---|
| 57.0ms | 3.04354780734655e+47 | 1.0578401417968555e+50 |
| 21.0ms | -2.1033313022614567e+63 | -1.647114650641972e+29 |
| 67.0ms | 304× | 0 | valid |
Compiled 357 to 204 computations (42.9% saved)
ival-sin: 48.0ms (80.7% of total)ival-cos: 6.0ms (10.1% of total)ival-add: 3.0ms (5% of total)ival-mult: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 12× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 890 |
| 1 | 172 | 890 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -50000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) (if (<=.f64 z #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)))) |
(if (<=.f64 z #s(literal -6805647338418769/170141183460469231731687303715884105728 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) (if (<=.f64 z #s(literal 7737125245533627/618970019642690137449562112 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)))) |
(if (<=.f64 z #s(literal -1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -5759265950624221/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 1700 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) #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 -10 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5902958103587057/590295810358705651712 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 (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1600 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1600 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -4500000000000000043318915593404416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 280 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -179999999999999984438934054633472 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1600 binary64)) #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))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -6799999999999999860495871633260544 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 75000000000000003288438228380714801597553573888 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 z x)))) |
(if (<=.f64 y #s(literal -3602879701896397/1125899906842624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1200000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -5840589551346239/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 2027029543777269/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -30999999999999997505563309703544737443677732864 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) (if (<=.f64 x #s(literal 669999999999999972585967949976375040552508325888 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -50000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) (if (<=.f64 z #s(literal 3152519739159347/1125899906842624 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)))) |
(if (<=.f64 z #s(literal -6805647338418769/170141183460469231731687303715884105728 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) (if (<=.f64 z #s(literal 7737125245533627/618970019642690137449562112 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)))) |
(if (<=.f64 z #s(literal -6805647338418769/170141183460469231731687303715884105728 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)) (if (<=.f64 z #s(literal 7737125245533627/618970019642690137449562112 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z #s(approx (+ (cos y) (/ (sin y) z)) (cos.f64 y)) x)))) |
(if (<=.f64 z #s(literal -1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -5759265950624221/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 1700 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))) |
(if (<=.f64 z #s(literal -1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -5759265950624221/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 1700 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))) |
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -8070450532247929/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1080863910568919/2251799813685248 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) #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 -10 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 5902958103587057/590295810358705651712 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 (+ (sin y) x) (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 -10 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 5902958103587057/590295810358705651712 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 (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1600 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) #s(approx (* z (cos y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1600 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (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))))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -4500000000000000043318915593404416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 280 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -179999999999999984438934054633472 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1600 binary64)) #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))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -6799999999999999860495871633260544 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 75000000000000003288438228380714801597553573888 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 z x)))) |
(if (<=.f64 y #s(literal -3602879701896397/1125899906842624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1200000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -5840589551346239/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 2027029543777269/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -30999999999999997505563309703544737443677732864 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) (if (<=.f64 x #s(literal 669999999999999972585967949976375040552508325888 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))))) |
(if (<=.f64 x #s(literal -30999999999999997505563309703544737443677732864 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 669999999999999972585967949976375040552508325888 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 x y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ y (+ z x)) (+.f64 y x))) |
| 11 746× | lower-fma.f64 |
| 11 746× | lower-fma.f32 |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 10 928× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 5022 |
| 1 | 1125 | 4923 |
| 2 | 3515 | 4765 |
| 0 | 8169 | 4425 |
| 0 | 378 | 4671 |
| 1 | 1194 | 4568 |
| 2 | 3857 | 4466 |
| 0 | 8164 | 4126 |
| 0 | 315 | 3875 |
| 1 | 923 | 3807 |
| 2 | 2749 | 3681 |
| 3 | 7046 | 3650 |
| 0 | 8319 | 3322 |
| 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 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 834 to 364 computations (56.4% saved)
Compiled 944 to 260 computations (72.5% saved)
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