
Time bar (total: 10.6s)
| 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)
| 841.0ms | 8 256× | 0 | valid |
ival-cos: 241.0ms (40.5% of total)ival-sin: 171.0ms (28.8% of total)ival-mult: 73.0ms (12.3% of total)ival-add: 60.0ms (10.1% of total)ival-sub: 40.0ms (6.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| 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 |
| 49.0ms | 512× | 0 | valid |
Compiled 91 to 36 computations (60.4% saved)
ival-sin: 11.0ms (37% of total)ival-cos: 10.0ms (33.7% of total)ival-mult: 4.0ms (13.5% of total)ival-add: 3.0ms (10.1% of total)ival-sub: 2.0ms (6.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 358× | sub-neg |
| 352× | cancel-sign-sub-inv |
| 302× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 400× | lower-fma.f64 |
| 400× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 120× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (38.4% of total)ival-cos: 5.0ms (32% of total)ival-mult: 2.0ms (12.8% of total)ival-sub: 1.0ms (6.4% of total)ival-add: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 z (sin.f64 y))> |
| Outputs |
|---|
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 1.0ms | z | @ | 0 | (* z (sin y)) |
| 0.0ms | z | @ | 0 | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | inf | (- (+ x (cos y)) (* z (sin y))) |
| 0.0ms | y | @ | -inf | (- (+ x (cos y)) (* z (sin y))) |
| 1× | egg-herbie |
| 10 746× | lower-fma.f64 |
| 10 746× | lower-fma.f32 |
| 3 588× | lower-*.f64 |
| 3 588× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (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) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 y z #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+.f64 #s(literal 1 binary64) (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)) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 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) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z (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)))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
| 4 620× | lower-*.f32 |
| 4 618× | lower-*.f64 |
| 4 548× | lower-fma.f64 |
| 4 548× | lower-fma.f32 |
| 2 418× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(+.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (cos.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (+.f64 (+.f64 x (cos.f64 y)) #s(literal 0 binary64)) (*.f64 z (sin.f64 y))) |
(-.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y)))) |
(fma.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (+.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) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (*.f64 (sin.f64 y) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (+.f64 x (cos.f64 y))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.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 (cos.f64 y)) #s(literal 2 binary64)))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.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 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (cos.f64 y)) (*.f64 (-.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))) |
(*.f64 (+.f64 x (cos.f64 y)) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 x (cos.f64 y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (*.f64 (+.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (/.f64 (+.f64 x (cos.f64 y)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (cos.f64 y))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (+.f64 x (cos.f64 y)) (*.f64 x x))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
Compiled 7 373 to 616 computations (91.6% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 15 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 265 | 15 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) | |
| 57.8% | (/.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 (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) | |
| 47.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| ▶ | 78.4% | (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
| ▶ | 86.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 60.4% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 58.4% | (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))) | |
| ▶ | 99.7% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
| 57.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) | |
| 64.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 74.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ▶ | 61.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
| 26.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
Compiled 634 to 346 computations (45.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) | |
| cost-diff | 0 | (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 z (sin.f64 y) (cos.f64 y)) | |
| cost-diff | 0 | (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) | |
| cost-diff | 320 | (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) | |
| cost-diff | 27776 | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
| 18 354× | lower-fma.f32 |
| 18 346× | lower-fma.f64 |
| 4 272× | lower-*.f32 |
| 4 260× | lower-*.f64 |
| 2 230× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 317 |
| 0 | 73 | 337 |
| 1 | 138 | 331 |
| 2 | 296 | 295 |
| 3 | 1020 | 295 |
| 4 | 5943 | 295 |
| 0 | 8112 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
x |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
#s(literal 1 binary64) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x) |
y |
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
z |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 x x) |
x |
(-.f64 (cos.f64 y) x) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) |
x |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x) |
(fma.f64 y (fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x) |
y |
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 z (*.f64 y #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 z #s(literal 1/6 binary64)) |
z |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
x |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(*.f64 x x) |
x |
(-.f64 (cos.f64 y) x) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.33651140527157747 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) | |
| accuracy | 13.68072071612738 | (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 27.390108705921314 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0546875 | (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) | |
| accuracy | 0.1328125 | (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0.2734375 | (*.f64 z #s(literal 1/6 binary64)) | |
| accuracy | 27.57126367268296 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 24.466423808126503 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 z (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.18359375 | (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
| 160.0ms | 256× | 0 | valid |
Compiled 310 to 39 computations (87.4% saved)
ival-add: 35.0ms (33.5% of total)ival-cos: 34.0ms (32.5% of total)ival-mult: 14.0ms (13.4% of total)ival-sin: 7.0ms (6.7% of total)ival-sub: 6.0ms (5.7% of total)const: 4.0ms (3.8% of total)ival-div: 3.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))> |
#<alt (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))> |
#<alt (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))> |
#<alt (fma.f64 z (sin.f64 y) (cos.f64 y))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))> |
#<alt (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)> |
#<alt (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))> |
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))> |
#<alt (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))> |
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))> |
#<alt (*.f64 z #s(literal 1/6 binary64))> |
#<alt (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))> |
#<alt (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))> |
| Outputs |
|---|
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y))))> |
#<alt (- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))> |
#<alt (- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (/ (* z (sin y)) x)))> |
#<alt (- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x)))> |
#<alt (- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (cos y) (* z (sin y)))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (- (cos y) (* z (sin y)))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))> |
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))> |
#<alt (+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ (- (+ x (cos y)) (* z (sin y))) (+ x (+ (cos y) (* z (sin y)))))> |
#<alt 1> |
#<alt (+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))> |
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))> |
#<alt (+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))> |
#<alt -1> |
#<alt (- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))> |
#<alt (- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))> |
#<alt (- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt (* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* y z)))> |
#<alt (+ 1 (+ x (* y (+ z (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (+ x (+ (cos y) (* z (sin y))))> |
#<alt (cos y)> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (* z (sin y))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (+ (sin y) (/ (cos y) z)))> |
#<alt (* z (sin y))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (cos y) z)))))> |
#<alt 1> |
#<alt (+ 1 (* y z))> |
#<alt (+ 1 (* y (+ z (* -1/2 y))))> |
#<alt (+ 1 (* y (+ z (* y (- (* -1/6 (* y z)) 1/2)))))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (+ (cos y) (* z (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
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#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
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#<alt (+ 1 x)> |
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#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
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#<alt (+ x (cos y))> |
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#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
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#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
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#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
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#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt x> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))> |
#<alt x> |
#<alt (+ x (* -1 (* y z)))> |
#<alt (+ x (* y (+ (* -1 z) (* -1/2 y))))> |
#<alt (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) z))> |
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ x y))) y)) 1/2) y)) (* -1/6 z))))> |
#<alt (+ x (* -1/2 (pow y 2)))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))> |
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))> |
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))> |
#<alt (* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))> |
#<alt (* -1 z)> |
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#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)> |
#<alt (- (* y (- (* 1/6 (* y z)) 1/2)) z)> |
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#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))> |
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#<alt (* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))> |
#<alt (* -1/2 y)> |
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#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
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#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
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#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
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#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
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#<alt (+ 1 x)> |
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#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))> |
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))> |
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))> |
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))> |
#<alt (/ (- 1 (pow x 2)) (- 1 x))> |
#<alt (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))> |
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))> |
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))> |
#<alt (- 1 (pow x 2))> |
#<alt (- (+ 1 (* -1 (pow y 2))) (pow x 2))> |
#<alt (- (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) (pow x 2))> |
#<alt (- (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))> |
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))> |
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))> |
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (/ 1 (+ (cos y) (* z (sin y))))> |
#<alt (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))> |
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)> |
#<alt (/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))> |
#<alt (/ 1 (+ x (cos y)))> |
#<alt (+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))> |
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)> |
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)> |
#<alt (/ 1 (* z (sin y)))> |
#<alt (* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))> |
#<alt (/ 1 (+ 1 x))> |
#<alt (+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (/ 1 (+ x (+ (cos y) (* z (sin y)))))> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt (* 1/6 z)> |
#<alt -1/2> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (* 1/6 (* y z))> |
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* y (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* 1/6 (* y z))> |
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))> |
#<alt -1/2> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (- (* 1/6 (* y z)) 1/2)> |
#<alt (* 1/6 (* y z))> |
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))> |
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))> |
#<alt (* z (- (* 1/6 y) (* 1/2 (/ 1 z))))> |
#<alt (* 1/6 (* y z))> |
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))> |
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 1/6 (* y z)) 1/2))> |
#<alt (* y (- (* 1/6 (* y z)) 1/2))> |
#<alt (* y (- (* 1/6 (* y z)) 1/2))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))> |
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))> |
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))> |
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))> |
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))> |
#<alt (* 1/6 (* (pow y 2) z))> |
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))> |
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) |
| 4.0ms | y | @ | inf | (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) |
| 2.0ms | z | @ | -inf | (* (+ x (- (cos y) (* z (sin y)))) (/ 1 (+ x (+ (* z (sin y)) (cos y))))) |
| 2.0ms | y | @ | -inf | (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) |
| 2.0ms | z | @ | 0 | (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) |
| 1× | egg-herbie |
| 9 326× | lower-fma.f64 |
| 9 326× | lower-fma.f32 |
| 6 250× | lower-*.f64 |
| 6 250× | lower-*.f32 |
| 5 530× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 943 | 9017 |
| 1 | 2983 | 8763 |
| 0 | 8569 | 8257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(/ (- (cos y) (* z (sin y))) (+ (cos y) (* z (sin y)))) |
(- (+ (* x (- (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) |
(- (+ (* x (- (+ (* x (- (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) |
(- (+ (* x (- (+ (* x (- (+ (* x (- (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (+ (/ 1 (pow (+ (cos y) (* z (sin y))) 2)) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))))) (+ (/ 1 (+ (cos y) (* z (sin y)))) (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2)))) (/ (cos y) (+ (cos y) (* z (sin y))))) (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) |
1 |
(+ 1 (* -2 (/ (* z (sin y)) x))) |
(- (+ 1 (* 2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2)))) (* 2 (/ (* z (sin y)) x))) |
(- (+ 1 (* -2 (/ (* z (* (sin y) (pow (+ (cos y) (* z (sin y))) 2))) (pow x 3)))) (+ (* -2 (/ (* z (* (sin y) (+ (cos y) (* z (sin y))))) (pow x 2))) (* 2 (/ (* z (sin y)) x)))) |
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(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x))) |
(- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y))) |
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y))) |
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y))) |
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x)))) |
(* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) |
(* -1 (* z (sin y))) |
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x)))))) |
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x)))))) |
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x)))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y))))) |
(/ (- 1 (pow x 2)) (- 1 x)) |
(- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)) |
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) |
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y))))) |
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y))))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2)))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1))) |
(- 1 (pow x 2)) |
(- (+ 1 (* -1 (pow y 2))) (pow x 2)) |
(- (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) (pow x 2)) |
(- (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) |
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y))))) |
(+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y))))) |
(+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1)) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(/ 1 (+ (cos y) (* z (sin y)))) |
(+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y))))) |
(+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x)) |
(/ 1 (+ x (cos y))) |
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y)))) |
(/ 1 (* z (sin y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z) |
(/ 1 (* z (sin y))) |
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(/ 1 (+ 1 x)) |
(+ (* -1 (/ (* y z) (pow (+ 1 x) 2))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
(* 1/6 z) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(* 1/6 (* y z)) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(* 1/6 (* y z)) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(* 1/6 (* y z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(* -1/2 y) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* -1/2 y) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(* 1/6 (* (pow y 2) z)) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(* 1/6 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
| Outputs |
|---|
(- (cos y) (* z (sin y))) |
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
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(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 z z) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 (fma.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 z z) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 z z) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(/ 1 (+ x (+ (cos y) (* z (sin y))))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
(* 1/6 z) |
(*.f64 z #s(literal 1/6 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (* y z)) |
(*.f64 y (*.f64 z #s(literal 1/6 binary64))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* y (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* 1/6 (* y z)) |
(*.f64 y (*.f64 z #s(literal 1/6 binary64))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(neg.f64 (*.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(neg.f64 (*.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(neg.f64 (*.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/6 (* y z)) 1/2) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(* 1/6 (* y z)) |
(*.f64 y (*.f64 z #s(literal 1/6 binary64))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(* z (- (* 1/6 y) (* 1/2 (/ 1 z)))) |
(*.f64 z (fma.f64 y #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) z))) |
(* 1/6 (* y z)) |
(*.f64 y (*.f64 z #s(literal 1/6 binary64))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 z (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 z (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z))))) |
(neg.f64 (*.f64 z (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(* y (- (* 1/6 (* y z)) 1/2)) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 y y)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z))) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2)))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) z))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 z (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(neg.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(neg.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))) |
(neg.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)))) |
| 5 302× | lower-*.f32 |
| 5 290× | lower-*.f64 |
| 4 176× | lower-fma.f32 |
| 4 168× | lower-fma.f64 |
| 3 456× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 249 |
| 0 | 73 | 251 |
| 1 | 344 | 197 |
| 2 | 3253 | 197 |
| 0 | 8775 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) |
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x)) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x) |
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(*.f64 z #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) |
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (fma.f64 z (sin.f64 y) x)) (*.f64 (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (cos.f64 y))) |
(+.f64 (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(+.f64 (*.f64 (fma.f64 z (sin.f64 y) x) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))) (*.f64 (cos.f64 y) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x)) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) (neg.f64 z)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (fma.f64 x (/.f64 x (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (/.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) (fma.f64 z (sin.f64 y) x)))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (+.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) |
(fma.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) (*.f64 x (/.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
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(pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))) (fma.f64 x (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) |
(-.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 z (sin.f64 y)) (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (cos.f64 y)) |
(fma.f64 (sin.f64 y) z (cos.f64 y)) |
(/.f64 #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 z z) (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) |
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(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.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 z (sin.f64 y)))) |
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(/.f64 (-.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 z (sin.f64 y)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (fma.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 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
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#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
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(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64))) |
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(*.f64 z #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) z) |
(+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) y #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) z #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64))) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 y y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 y (*.f64 z #s(literal 1/6 binary64))) y (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 z #s(literal 1/6 binary64)) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y (*.f64 z y)) #s(literal 1/6 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 y #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 z y) #s(literal -1/12 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z y) (*.f64 z y)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) y) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 y (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64)) y) |
Compiled 48 191 to 3 220 computations (93.3% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 468 | 24 | 1 492 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 477 | 30 | 1 507 |
| Status | Accuracy | Program |
|---|---|---|
| 44.8% | (/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) | |
| 34.5% | (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| ✓ | 86.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 55.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
| 56.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) | |
| ▶ | 99.8% | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) |
| 60.4% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| 45.5% | (*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) | |
| 60.1% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 25.6% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y)))))) | |
| 93.4% | (*.f64 #s(approx (+ x (+ (* z (sin y)) (cos y))) (fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x)) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) | |
| 26.1% | #s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 54.0% | #s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 x (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x x)) (/.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) | |
| 33.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) | |
| 41.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 64.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 74.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ✓ | 61.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) | |
| 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) | |
| 22.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) | |
| 91.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z))) | |
| ▶ | 91.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))) |
| ▶ | 23.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 32.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) | |
| 13.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) | |
| 11.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) | |
| 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) | |
| ▶ | 11.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
Compiled 1 293 to 681 computations (47.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))) | |
| cost-diff | 1408 | (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) | |
| cost-diff | 320 | (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)) | |
| cost-diff | 0 | #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) | |
| cost-diff | 128 | (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))) | |
| cost-diff | 0 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) | |
| cost-diff | 896 | (fma.f64 x (/.f64 (cos.f64 y) x) x) |
| 16 026× | lower-fma.f32 |
| 16 016× | lower-fma.f64 |
| 4 802× | lower-*.f32 |
| 4 782× | lower-*.f64 |
| 2 900× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 440 |
| 0 | 100 | 436 |
| 1 | 213 | 436 |
| 2 | 533 | 431 |
| 3 | 1361 | 424 |
| 4 | 3177 | 408 |
| 5 | 5731 | 408 |
| 0 | 8733 | 391 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
x |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))) |
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z) |
(*.f64 z (*.f64 y #s(literal -1/6 binary64))) |
z |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z) |
(*.f64 y y) |
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
z |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
(*.f64 z #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))) |
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))) |
z |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) |
(/.f64 x z) |
x |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y)))) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(+.f64 x (cos.f64 y)) |
x |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))) |
(*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z) |
(*.f64 z (*.f64 y #s(literal -1/6 binary64))) |
z |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (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)) #s(literal 1 binary64)))))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))) |
#s(approx (* z (sin y)) (*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (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)) #s(literal 1 binary64)))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)) |
(*.f64 (*.f64 y z) (fma.f64 (*.f64 y y) (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)) #s(literal 1 binary64))) |
y |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z) |
(fma.f64 (*.f64 y (*.f64 y z)) (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)) z) |
(*.f64 y y) |
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) |
(*.f64 z (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 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
z |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
(*.f64 z #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))) |
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))) |
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) |
z |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) |
(/.f64 x z) |
x |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) | |
| accuracy | 0.12109375 | (/.f64 (cos.f64 y) z) | |
| accuracy | 5.499286888386101 | (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))) | |
| accuracy | 0.2734375 | (*.f64 z #s(literal -1/6 binary64)) | |
| accuracy | 1.9710914702950597 | (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) | |
| accuracy | 27.390108705921314 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 29.921463575413178 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))) | |
| accuracy | 0.20828878162065376 | (*.f64 z (*.f64 y #s(literal -1/6 binary64))) | |
| accuracy | 0.33984375 | (*.f64 y #s(literal -1/6 binary64)) | |
| accuracy | 27.57126367268296 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) | |
| accuracy | 34.656542148130875 | #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) | |
| accuracy | 24.466423808126503 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) | |
| accuracy | 28.402347603394325 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.11328125 | (fma.f64 x (/.f64 (cos.f64 y) x) x) | |
| accuracy | 0.125 | (/.f64 (cos.f64 y) x) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) |
| 117.0ms | 256× | 0 | valid |
Compiled 325 to 60 computations (81.5% saved)
ival-mult: 36.0ms (38.1% of total)ival-add: 15.0ms (15.9% of total)const: 12.0ms (12.7% of total)ival-cos: 11.0ms (11.6% of total)ival-div: 7.0ms (7.4% of total)ival-sub: 6.0ms (6.4% of total)ival-sin: 5.0ms (5.3% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (/.f64 (cos.f64 y) x) x)> |
#<alt (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y)))> |
#<alt #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))> |
#<alt (/.f64 (cos.f64 y) x)> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))> |
#<alt #s(approx (+ x 1) #s(literal 1 binary64))> |
#<alt (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))))> |
#<alt #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))> |
#<alt (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))> |
#<alt (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64)))> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))))> |
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))))> |
#<alt (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))> |
#<alt (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z))> |
#<alt (*.f64 z (sin.f64 y))> |
#<alt (*.f64 y #s(literal -1/6 binary64))> |
#<alt (*.f64 z (*.f64 y #s(literal -1/6 binary64)))> |
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))> |
#<alt (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))> |
#<alt (*.f64 z #s(literal -1/6 binary64))> |
#<alt (/.f64 (cos.f64 y) z)> |
| Outputs |
|---|
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))> |
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#<alt x> |
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#<alt x> |
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#<alt x> |
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#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))> |
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))> |
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* z (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (- (/ (cos y) z) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (/ x z)> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)> |
#<alt (* -1 (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (* -1 (sin y))> |
#<alt (- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y))> |
#<alt (- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y))> |
#<alt (- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y))> |
#<alt (+ (/ 1 z) (/ x z))> |
#<alt (+ (* -1 y) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z)))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (- (+ (/ x z) (/ (cos y) z)) (sin y))> |
#<alt (/ (cos y) z)> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (/ x z)> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (* x (+ (/ 1 z) (/ (cos y) (* x z))))> |
#<alt (/ x z)> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (/ (+ x (cos y)) z)> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z))> |
#<alt (+ (/ 1 z) (/ x z))> |
#<alt (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (+ (/ x z) (/ (cos y) z))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* -1/6 (* y z))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* z (+ 1/120 (* -1/5040 (pow y 2))))> |
#<alt (* 1/120 z)> |
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))> |
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))> |
#<alt (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))> |
#<alt (* -1/5040 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* -1/5040 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (* -1/6 z)> |
#<alt (/ 1 z)> |
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | (/ (cos y) x) |
| 2.0ms | z | @ | 0 | (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
| 2.0ms | y | @ | 0 | (- (+ (/ x z) (/ (cos y) z)) (sin y)) |
| 1.0ms | z | @ | 0 | (+ (* y (* y (* z (+ (* -1/5040 (* y y)) 1/120)))) (* z -1/6)) |
| 1.0ms | z | @ | 0 | (neg (* y (+ (* y (* z (* y -1/6))) z))) |
| 1× | egg-herbie |
| 12 304× | lower-fma.f64 |
| 12 304× | lower-fma.f32 |
| 5 940× | lower-*.f64 |
| 5 940× | lower-*.f32 |
| 4 282× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 7465 |
| 1 | 1885 | 7233 |
| 2 | 5875 | 7154 |
| 0 | 8080 | 6824 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x))) |
(- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
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(* -1 (* z (+ 1/6 (* -1 (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (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) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z)))))) |
(* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z)))))) |
(* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z)))))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* z (+ (/ 1 z) (/ x z))) |
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z)))) |
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(- (/ (cos y) z) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ x z) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z) |
(* -1 (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(* -1 (sin y)) |
(- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y)) |
(- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y)) |
(- (* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) (sin y)) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1 y) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z))) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z))) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(- (+ (/ x z) (/ (cos y) z)) (sin y)) |
(/ (cos y) z) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(* x (+ (/ 1 z) (/ (cos y) (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z)))) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(/ (+ x (cos y)) z) |
(* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (cos y))) z)) |
(+ (/ 1 z) (/ x z)) |
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z))) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(+ (/ x z) (/ (cos y) z)) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* -1/6 (* y z)) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* 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 (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* z (+ 1/120 (* -1/5040 (pow y 2)))) |
(* 1/120 z) |
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)) |
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)) |
(+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)) |
(* -1/5040 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* -1/5040 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(* -1/6 z) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 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) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
| Outputs |
|---|
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x)))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 x (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 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 y z)) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (neg.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x))))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(-.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 z (sin.f64 y) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x))))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
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(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64)))) |
(* -1/5040 (* (pow y 2) z)) |
(*.f64 y (*.f64 y (*.f64 z #s(literal -1/5040 binary64)))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64)))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64)))) |
(* (pow y 2) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))) |
(*.f64 (*.f64 y y) (fma.f64 z (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 z #s(literal -1/5040 binary64)))) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 y (*.f64 y (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1/2 binary64) z))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
| 4 880× | lower-fma.f32 |
| 4 870× | lower-fma.f64 |
| 4 560× | lower-*.f32 |
| 4 540× | lower-*.f64 |
| 3 008× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 343 |
| 0 | 100 | 343 |
| 1 | 473 | 317 |
| 2 | 4164 | 314 |
| 0 | 8287 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) |
(/.f64 (cos.f64 y) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
(neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)))) |
(*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z)) |
(fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))) |
(-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) |
(+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) |
(*.f64 z (sin.f64 y)) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 z (*.f64 y #s(literal -1/6 binary64))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z))) |
(*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
(*.f64 z #s(literal -1/6 binary64)) |
(/.f64 (cos.f64 y) z) |
| Outputs |
|---|
(+.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) #s(literal 1 binary64) (neg.f64 x)))) |
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) x) |
(+.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) (neg.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) (*.f64 z (sin.f64 y))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))))) |
(fma.f64 z (neg.f64 (sin.f64 y)) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) |
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) |
(fma.f64 (neg.f64 (sin.f64 y)) z #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (-.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.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 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))) (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (*.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) (neg.f64 (*.f64 z (sin.f64 y))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) (neg.f64 (*.f64 z (sin.f64 y))))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (neg.f64 (fma.f64 z (sin.f64 y) #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 (cos.f64 y) #s(literal 1 binary64) x))))) |
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(pow.f64 (*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x z (*.f64 (cos.f64 y) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)) (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (cos.f64 y)) z))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y (*.f64 z #s(literal -1/6 binary64))) |
(*.f64 z (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y z)) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) z) |
(*.f64 (*.f64 z #s(literal -1/6 binary64)) y) |
(*.f64 (*.f64 y z) #s(literal -1/6 binary64)) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 z (*.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) y)) (*.f64 z #s(literal -1/6 binary64))) z))) |
(+.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64))) |
(+.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(fma.f64 z #s(literal 1/120 binary64) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(fma.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/5040 binary64) z) (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) z (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y #s(literal -1/5040 binary64)) (*.f64 y z) (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 z #s(literal -1/5040 binary64)) (*.f64 y y) (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/5040 binary64) (*.f64 z #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 z (*.f64 y #s(literal -1/5040 binary64))) y (*.f64 z #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 z (*.f64 z z)) (*.f64 #s(literal 1/1728000 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z #s(literal 1/120 binary64))) (*.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) (*.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 z #s(literal 1/120 binary64)))) (-.f64 (*.f64 z (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 z #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) z) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) z) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) z) |
(*.f64 z #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) z) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z))) |
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z)) |
(/.f64 (cos.f64 y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z))) |
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z)) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))) |
Compiled 22 029 to 1 665 computations (92.4% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 961 | 16 | 977 |
| Fresh | 11 | 12 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 976 | 31 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| 44.8% | (/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| ✓ | 86.9% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 56.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
| 55.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) | |
| ▶ | 70.4% | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
| 60.4% | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 45.5% | (*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) | |
| 25.6% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y)))))) | |
| 26.1% | #s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 41.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 49.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y)) (sin.f64 y)))) | |
| 64.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 74.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ✓ | 61.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 56.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) | |
| 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) | |
| 22.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) | |
| 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y)))) | |
| 32.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) | |
| 53.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) | |
| 78.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))))) | |
| ✓ | 23.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 13.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) | |
| ▶ | 11.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
| 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) | |
| 11.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) | |
| 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) | |
| ▶ | 12.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
| ▶ | 99.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
| 85.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x))) |
Compiled 1 105 to 595 computations (46.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) | |
| cost-diff | 896 | (fma.f64 x (/.f64 (cos.f64 y) x) x) | |
| cost-diff | 0 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) | |
| cost-diff | 0 | (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) | |
| cost-diff | 0 | #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)) | |
| cost-diff | 0 | (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))) | |
| cost-diff | 0 | #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) | |
| cost-diff | 0 | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) | |
| cost-diff | 576 | (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
| 10 686× | lower-fma.f32 |
| 10 676× | lower-fma.f64 |
| 4 250× | lower-*.f32 |
| 4 238× | lower-*.f64 |
| 1 860× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 491 |
| 0 | 101 | 490 |
| 1 | 215 | 490 |
| 2 | 471 | 490 |
| 3 | 973 | 476 |
| 4 | 1671 | 457 |
| 5 | 2645 | 457 |
| 6 | 4731 | 457 |
| 0 | 8314 | 434 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
z |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))) |
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))) |
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) |
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
y |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
z |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) |
(*.f64 y y) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
z |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
x |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
z |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))) |
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) |
z |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))) |
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))) |
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y z) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
y |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
z |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(*.f64 y y) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(+.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z))))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(*.f64 y (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z)) |
y |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y z)) z) |
(*.f64 y y) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
z |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y))) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (+.f64 x (cos.f64 y))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(+.f64 x (cos.f64 y)) |
x |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
#s(approx (* z (sin y)) (*.f64 y z)) |
(*.f64 y z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) | |
| accuracy | 0.11328125 | (fma.f64 x (/.f64 (cos.f64 y) x) x) | |
| accuracy | 0.125 | (/.f64 (cos.f64 y) x) | |
| accuracy | 29.872929605734196 | #s(approx (* z (sin y)) (*.f64 y z)) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 2.090554348482099 | (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) | |
| accuracy | 27.390108705921314 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 30.020733071530717 | #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) | |
| accuracy | 0.10546875 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) | |
| accuracy | 1.9055872317735074 | (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) | |
| accuracy | 27.57126367268296 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) | |
| accuracy | 34.656542148130875 | #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) | |
| accuracy | 0 | (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))) | |
| accuracy | 27.57126367268296 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) | |
| accuracy | 30.71297715338733 | #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)) | |
| accuracy | 34.656542148130875 | #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))) | |
| accuracy | 0 | #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) | |
| accuracy | 0.12109375 | (/.f64 (cos.f64 y) z) | |
| accuracy | 0.13671875 | (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
| 121.0ms | 256× | 0 | valid |
Compiled 306 to 63 computations (79.4% saved)
ival-mult: 39.0ms (40.3% of total)ival-add: 15.0ms (15.5% of total)ival-cos: 12.0ms (12.4% of total)const: 9.0ms (9.3% of total)ival-div: 7.0ms (7.2% of total)ival-sub: 7.0ms (7.2% of total)ival-sin: 5.0ms (5.2% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))> |
#<alt #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))> |
#<alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))))> |
#<alt #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))> |
#<alt (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))> |
#<alt #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))> |
#<alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))))> |
#<alt #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))> |
#<alt (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))> |
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))> |
#<alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))))> |
#<alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))> |
#<alt #s(approx (cos y) #s(literal 1 binary64))> |
#<alt #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))> |
#<alt (fma.f64 x (/.f64 (cos.f64 y) x) x)> |
#<alt (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z)))> |
#<alt #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x))> |
#<alt (/.f64 (cos.f64 y) x)> |
#<alt (/.f64 (cos.f64 y) z)> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))> |
#<alt (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))> |
#<alt #s(approx (* z (sin y)) (*.f64 y z))> |
| Outputs |
|---|
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))> |
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (- (cos y) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1 (* y z))))> |
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))> |
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (- (+ x (cos y)) (* z (sin y)))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))> |
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))> |
#<alt (* -1 (* z (+ (sin y) (+ (* -1 (/ x z)) (* -1 (/ (cos y) z))))))> |
#<alt (* z (- (/ (cos y) z) (sin y)))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt (+ x (* z (- (/ (cos y) z) (sin y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt (* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))> |
#<alt (* z (+ (/ 1 z) (/ x z)))> |
#<alt (+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))> |
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))> |
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#<alt x> |
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#<alt x> |
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#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* z (- (* 1/6 (pow y 2)) 1))> |
#<alt (* -1 z)> |
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#<alt x> |
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#<alt (* -1 (* z (sin y)))> |
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#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))> |
#<alt (cos y)> |
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#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
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#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (cos y)> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (+ 1 x)> |
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (+ x (cos y))> |
#<alt (- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y)))> |
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y)))> |
#<alt x> |
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))> |
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))> |
#<alt (* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))> |
#<alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))> |
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))> |
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))> |
#<alt (* -1 (* z (sin y)))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))> |
#<alt (/ (- 1 (pow x 2)) (- 1 x))> |
#<alt (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))> |
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))> |
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (cos y) x)))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ (cos y) x)> |
#<alt (/ 1 z)> |
#<alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt (/ (cos y) z)> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* z (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* -1/6 z)> |
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))> |
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))> |
#<alt (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))> |
#<alt (* 1/120 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* 1/120 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* y z)> |
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))> |
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
#<alt (* z (sin y))> |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (+ (* z (- (/ (cos y) z) (sin y))) x) |
| 1.0ms | z | @ | 0 | (* y (* z (+ (* (* y y) 1/6) -1))) |
| 1.0ms | z | @ | 0 | (* z (+ (* (* y y) 1/120) -1/6)) |
| 1.0ms | y | @ | inf | (* y (* z (+ (* (* y y) 1/6) -1))) |
| 0.0ms | y | @ | 0 | (* y (* z (+ (* (* y y) 1/6) -1))) |
| 1× | egg-herbie |
| 12 604× | lower-fma.f64 |
| 12 604× | lower-fma.f32 |
| 6 212× | lower-*.f64 |
| 6 212× | lower-*.f32 |
| 3 392× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 572 | 8026 |
| 1 | 1779 | 7829 |
| 2 | 5575 | 7681 |
| 0 | 8115 | 7318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
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(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (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) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (/ 1 (- 1 x)) (/ (pow x 2) (- 1 x))) |
(- (+ (* -1 (* y z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x)))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* y (- (* y (+ (* -1/2 (/ (pow x 2) (pow (- 1 x) 2))) (+ (* 1/6 (* y z)) (+ (* 1/4 (/ 1 (pow (- 1 x) 2))) (* 1/2 (- (* 1/2 (/ 1 (pow (- 1 x) 2))) (* 2 (/ 1 (- 1 x))))))))) z)) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (neg (* -2 y))) (- (cos y) x)))) (+ (* z (sin y)) (/ (pow x 2) (- (cos y) x)))) |
(- (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))) (* z (sin y))) |
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* 1/2 (/ 1 (pow (cos y) 2))))))) (* z (sin y))) |
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3)))) (/ 1 (cos y))))))))) (* z (sin y))) |
(- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* x (+ (* 1/2 (/ 1 (pow (cos y) 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 4))) (* 1/2 (/ (cos (* 2 y)) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2)))))) (/ 1 (cos y))))))))) (* z (sin y))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x)))) |
(* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1))) |
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) |
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) |
(* -1 (* z (sin y))) |
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x)))))) |
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x)))))) |
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x)))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y))))) |
(/ (- 1 (pow x 2)) (- 1 x)) |
(- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x))) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x)) |
(/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y)) |
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) |
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y))))) |
(+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y))))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2)))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2)))))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1))) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 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) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(- (* 1/6 (pow y 2)) 1) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 z) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* 1/120 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 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)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 x (cos.f64 y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(* -1 (* z (sin y))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (+ x (* -1 (* y z)))) |
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) x)) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(* z (- (/ (cos y) z) (sin y))) |
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
x |
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(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/720 binary64) z) (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal -1/2 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(* (pow y 2) (- 1/6 (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* z (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* -1/6 z) |
(*.f64 z #s(literal -1/6 binary64)) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* 1/120 (* (pow y 2) z)) |
(*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* 1/120 (* (pow y 2) z)) |
(*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) |
(*.f64 (*.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (/.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 y y)))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 y (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
(* z (sin y)) |
(*.f64 z (sin.f64 y)) |
| 4 608× | lower-*.f32 |
| 4 596× | lower-*.f64 |
| 4 410× | lower-fma.f32 |
| 4 400× | lower-fma.f64 |
| 3 036× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 427 |
| 0 | 101 | 427 |
| 1 | 487 | 401 |
| 2 | 4194 | 398 |
| 0 | 8132 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
#s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)))) |
(neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))) |
#s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))) |
(*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))) |
(fma.f64 x (/.f64 (cos.f64 y) x) x) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) |
(/.f64 (cos.f64 y) x) |
(/.f64 (cos.f64 y) z) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(approx (* z (sin y)) (*.f64 y z)) |
| Outputs |
|---|
(+.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) |
(+.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)))) |
(fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))) (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
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(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) |
(+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(fma.f64 z #s(literal -1/6 binary64) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/120 binary64)) z) (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) z (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) z) (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 z y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 z #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 z #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1/1728000 binary64)) (*.f64 z (*.f64 z z)) (*.f64 #s(literal -1/216 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/6 binary64))) (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/6 binary64)))) (-.f64 (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(/.f64 (*.f64 z (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) z) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal -1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
#s(approx (* z (sin y)) (*.f64 z y)) |
Compiled 18 811 to 1 310 computations (93% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 909 | 10 | 919 |
| Fresh | 5 | 18 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 916 | 34 | 950 |
| Status | Accuracy | Program |
|---|---|---|
| 44.8% | (/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| 55.5% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) | |
| ✓ | 56.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
| 55.2% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) | |
| 56.0% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) | |
| ✓ | 70.4% | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
| 64.3% | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) | |
| 60.4% | (-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 45.5% | (*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) | |
| 25.6% | (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.f64 y)))))) | |
| 26.1% | #s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) | |
| 41.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) | |
| 64.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) | |
| 74.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| ✓ | 61.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| 47.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) | |
| 22.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) | |
| 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y)))) | |
| 32.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) | |
| 78.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))))) | |
| ✓ | 23.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 11.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) | |
| 13.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) | |
| 11.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) | |
| ✓ | 11.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
| 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) | |
| 2.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) | |
| ✓ | 12.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
| 64.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.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) (sin.f64 y))) x))) | |
| 74.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x))) | |
| 61.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) | |
| 65.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) | |
| 85.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x))) |
Compiled 1 853 to 600 computations (67.6% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)) (sin.f64 y)) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (+.f64 (/.f64 x z) (/.f64 (cos.f64 y) z)) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) x)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) |
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))) |
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 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) (fma.f64 z (sin.f64 y) (cos.f64 y))) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.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) (sin.f64 y))) x))) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ (* z (sin y)) (cos y))) (*.f64 z (sin.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 (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x (cos.f64 y)) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (*.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x)))) |
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 x (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 x x)) (/.f64 (cos.f64 y) x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(*.f64 #s(approx (+ x (+ (* z (sin y)) (cos y))) (fma.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) x)) x)) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (*.f64 x x)))) |
(*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (*.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 20.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 19.0ms | x |
| 17.0ms | z |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) #s(approx (+ (* x (/ (cos y) x)) x) (cos.f64 y))) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 15.0ms | z |
| 13.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | y |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
| 86.9% | 1 | y |
| 99.4% | 3 | z |
| 99.4% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 #s(approx (+ (/ x z) (/ (cos y) z)) (/.f64 x z)) (sin.f64 y)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x (/.f64 (cos.f64 y) x) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
3 calls:
| 27.0ms | x |
| 13.0ms | z |
| 11.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | z |
| 99.4% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 86.9% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) |
2 calls:
| 231.0ms | z |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 3 | z |
| 98.0% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
4 calls:
| 55.0ms | y |
| 10.0ms | x |
| 10.0ms | z |
| 10.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 1 | x |
| 84.9% | 3 | y |
| 83.8% | 3 | z |
| 81.3% | 5 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 (*.f64 y y) (+.f64 (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 z (*.f64 y y)))))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
4 calls:
| 48.0ms | z |
| 9.0ms | x |
| 9.0ms | y |
| 9.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 3 | x |
| 68.3% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 70.8% | 3 | z |
| 72.5% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 22.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z #s(approx (+ (* (* y y) 1/120) -1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) z)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (- (* y (+ (* y (* z 1/6)) -1/2)) z) (*.f64 y #s(literal -1/2 binary64))) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z #s(approx (- (+ (/ x z) (/ (cos y) z)) (sin y)) (/.f64 x z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 y z)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y #s(approx (* z (+ (* (* y y) 1/6) -1)) (*.f64 y (*.f64 (*.f64 y z) #s(literal 1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 z y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y (*.f64 (*.f64 y (*.f64 y z)) #s(literal -1/6 binary64))))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 z (*.f64 y #s(literal -1/6 binary64))) z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (*.f64 y (fma.f64 (*.f64 z y) (*.f64 y #s(literal 1/6 binary64)) (neg.f64 z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) #s(literal 1 binary64)))) |
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (fma.f64 x #s(approx (/ (cos y) x) (/.f64 #s(literal 1 binary64) x)) x)) #s(approx (* z (sin y)) (*.f64 y z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y #s(literal -1/6 binary64)) (*.f64 y z))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
4 calls:
| 3.0ms | y |
| 2.0ms | z |
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 61.8% | 1 | x |
| 64.6% | 2 | z |
| 61.8% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 1 | y |
| 61.8% | 1 | z |
Compiled 8 to 6 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.9% | 1 | x |
| 23.9% | 1 | z |
| 23.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 23.9% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.741284084121782e-54 | 6.020027133031643e-54 |
| 20.0ms | -109052.64345790459 | -5.323815572300033e-9 |
| 24.0ms | 240× | 0 | valid |
Compiled 390 to 269 computations (31% saved)
ival-sin: 8.0ms (43.4% of total)ival-cos: 6.0ms (32.6% of total)ival-mult: 2.0ms (10.9% of total)ival-sub: 1.0ms (5.4% of total)ival-add: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.994572544636823 | 0.999999999990992 |
| 0.0ms | -179521.263450736 | -109052.93876872188 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000003427607 | 3862.4758718124667 |
| 0.0ms | -179521.263450736 | -109052.93876872188 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 113636246966417.92 | 3.648638921996196e+25 |
| 25.0ms | -253.9909242574981 | -4.5829720696049e-20 |
| 38.0ms | 336× | 0 | valid |
Compiled 834 to 497 computations (40.4% saved)
ival-cos: 13.0ms (44.2% of total)ival-sin: 10.0ms (34% of total)ival-add: 2.0ms (6.8% of total)ival-mult: 2.0ms (6.8% of total)ival-sub: 1.0ms (3.4% 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 |
|---|---|---|
| 15.0ms | 113636246966417.92 | 3.648638921996196e+25 |
| 26.0ms | -1.0984622986421961e+23 | -176975.88659939938 |
| 31.0ms | 256× | 0 | valid |
Compiled 775 to 474 computations (38.8% saved)
ival-cos: 9.0ms (40.7% of total)ival-sin: 8.0ms (36.2% of total)ival-mult: 2.0ms (9% of total)ival-sub: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% 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 |
|---|---|---|
| 39.0ms | 1.0261453319220098e+45 | 8.731985018779646e+53 |
| 41.0ms | -1.0984622986421961e+23 | -176975.88659939938 |
| 68.0ms | 288× | 0 | valid |
Compiled 642 to 394 computations (38.6% saved)
ival-sin: 29.0ms (47.3% of total)ival-cos: 27.0ms (44.1% of total)ival-mult: 2.0ms (3.3% of total)ival-sub: 1.0ms (1.6% of total)ival-add: 1.0ms (1.6% 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 |
|---|---|---|
| 10.0ms | 113636246966417.92 | 3.648638921996196e+25 |
| 22.0ms | -1.0984622986421961e+23 | -176975.88659939938 |
| 24.0ms | 176× | 0 | valid |
Compiled 575 to 394 computations (31.5% saved)
ival-cos: 11.0ms (56.7% of total)ival-sin: 5.0ms (25.8% of total)ival-sub: 1.0ms (5.2% of total)ival-add: 1.0ms (5.2% of total)ival-mult: 1.0ms (5.2% 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 |
|---|---|---|
| 41.0ms | 2.1797953383287672e+114 | 6.349075261828098e+119 |
| 26.0ms | -5.932565444072026e+49 | -7.233606365509973e+38 |
| 55.0ms | 304× | 0 | valid |
Compiled 376 to 261 computations (30.6% saved)
ival-cos: 30.0ms (62.8% of total)ival-sin: 13.0ms (27.2% of total)ival-add: 2.0ms (4.2% of total)ival-mult: 2.0ms (4.2% of total)ival-sub: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -5.451751249315363e+169 | -2.7318811895416836e+163 |
| 17.0ms | 144× | 0 | valid |
Compiled 186 to 122 computations (34.4% saved)
ival-cos: 8.0ms (60.6% of total)ival-sin: 3.0ms (22.7% of total)ival-sub: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% of total)ival-mult: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 36× | +-commutative_binary64 |
| 32× | *-commutative_binary64 |
| 28× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 618 |
| 1 | 171 | 618 |
| 2 | 198 | 618 |
| 3 | 210 | 618 |
| 4 | 215 | 618 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -4382356096103031/302231454903657293676544 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))))) |
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 115000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -34000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 580000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -170000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -3200000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 175000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -500000000000000022442856339037958392774656 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4700000000000000073129255808494162214060546565528988736837921728024918771474351805345431332600723004078169520078848 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 z #s(literal -53999999999999998104442712318945263814838436462968667939952139978665007137223777437007895119369053247463673219246648620933108837236776247556326110785122588648902915784704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -4382356096103031/302231454903657293676544 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -150000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (fma.f64 z #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) x))))) |
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 115000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -3715469692580659/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 115000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -34000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 580000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (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))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -170000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1049999999999999973782050984320931337053667328 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -3200000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 175000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -500000000000000022442856339037958392774656 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4700000000000000073129255808494162214060546565528988736837921728024918771474351805345431332600723004078169520078848 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))))) |
(if (<=.f64 z #s(literal -53999999999999998104442712318945263814838436462968667939952139978665007137223777437007895119369053247463673219246648620933108837236776247556326110785122588648902915784704 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (- (* y (+ (* y (* z 1/6)) -1/2)) z)) x)) (neg.f64 #s(approx (* y (+ (* y (* z (* y -1/6))) z)) (*.f64 y z))))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64))) |
| 12 604× | lower-fma.f64 |
| 12 604× | lower-fma.f32 |
| 12 304× | lower-fma.f64 |
| 12 304× | lower-fma.f32 |
| 10 746× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 771 | 605 |
| 3 | 2082 | 601 |
| 4 | 4360 | 601 |
| 5 | 6324 | 601 |
| 0 | 8449 | 579 |
| 0 | 603 | 7465 |
| 1 | 1885 | 7233 |
| 2 | 5875 | 7154 |
| 0 | 8080 | 6824 |
| 0 | 572 | 8026 |
| 1 | 1779 | 7829 |
| 2 | 5575 | 7681 |
| 0 | 8115 | 7318 |
| 0 | 943 | 9017 |
| 1 | 2983 | 8763 |
| 0 | 8569 | 8257 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 587 to 275 computations (53.2% saved)
Compiled 704 to 200 computations (71.6% saved)
Loading profile data...