
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 304.0ms (38.4% of total)ival-sin: 211.0ms (26.6% of total)ival-mult: 178.0ms (22.5% of total)ival-sub: 87.0ms (11% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.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 |
| 122.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 52.0ms (67.9% of total)ival-sin: 14.0ms (18.3% of total)ival-mult: 7.0ms (9.1% of total)ival-sub: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 84 |
| 2 | 146 | 84 |
| 3 | 245 | 84 |
| 4 | 451 | 84 |
| 5 | 1001 | 84 |
| 6 | 2456 | 84 |
| 7 | 5377 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 25 | 9 |
| 2 | 41 | 9 |
| 3 | 68 | 9 |
| 4 | 106 | 9 |
| 5 | 222 | 9 |
| 6 | 554 | 9 |
| 7 | 1420 | 9 |
| 8 | 3125 | 9 |
| 9 | 6739 | 9 |
| 0 | 8177 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 25 | 24 |
| 2 | 41 | 24 |
| 3 | 68 | 24 |
| 4 | 106 | 24 |
| 5 | 222 | 24 |
| 6 | 554 | 24 |
| 7 | 1420 | 24 |
| 8 | 3125 | 24 |
| 9 | 6739 | 24 |
| 0 | 8177 | 24 |
| 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)) |
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))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.02734375 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.13671875 | (*.f64 z (sin.f64 y)) |
| 26.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (37.9% of total)ival-sin: 5.0ms (31.6% of total)ival-mult: 3.0ms (18.9% of total)ival-sub: 1.0ms (6.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
(* 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))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
(* 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))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y)) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 38 | 19 |
| 2 | 239 | 19 |
| 3 | 2445 | 19 |
| 0 | 8361 | 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 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))))))) |
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(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)) |
(fma.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y)))) |
(fabs.f64 (*.f64 (neg.f64 x) (cos.f64 y))) |
(fabs.f64 (*.f64 (cos.f64 y) x)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 y) x))) (sinh.f64 (log.f64 (*.f64 (cos.f64 y) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) x) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) x)) |
(+.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (sin.f64 y))) (*.f64 x (*.f64 #s(literal 1 binary64) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))))))) |
(/.f64 (fma.f64 (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 y) (neg.f64 (cos.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 y) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 y))) (fabs.f64 (fabs.f64 z))) |
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 z))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (sqrt.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z)) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(fabs.f64 (*.f64 (sin.f64 y) z)) |
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (sin.f64 y) z))) (sinh.f64 (log.f64 (*.f64 (sin.f64 y) z)))) |
Compiled 6 250 to 698 computations (88.8% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 18 | 213 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 195 | 19 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 39.4% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 51.7% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 99.7% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 38.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| ▶ | 60.1% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| 60.1% | (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| ▶ | 99.8% | (-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
| 41.3% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| ✓ | 99.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.4% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 73.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 57.9% | (*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 50.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 50.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| ▶ | 90.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 783 to 486 computations (37.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| 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 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (cos.f64 y)) | |
| cost-diff | 2 | (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) | |
| cost-diff | 3 | (*.f64 #s(literal 0 binary64) (sin.f64 y)) | |
| cost-diff | 7 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 291 |
| 0 | 69 | 251 |
| 1 | 130 | 247 |
| 2 | 288 | 241 |
| 3 | 961 | 226 |
| 4 | 3517 | 226 |
| 0 | 8662 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(literal 1 binary64) |
(cos.f64 y) |
(neg.f64 (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
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 |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
(*.f64 (cos.f64 y) x) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(cos.f64 y) |
(-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(cos.f64 y) |
#s(literal 1 binary64) |
(cos.f64 y) |
(neg.f64 (cos.f64 y)) |
(*.f64 z (sin.f64 y)) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 z) |
z |
y |
x |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(neg.f64 z) |
z |
(cos.f64 y) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.23828125 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 2.2499896791510294 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 25.47682855679401 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| accuracy | 0.05078125 | (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 y) x) | |
| accuracy | 5.7432212611877524 | (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) | |
| accuracy | 0.02734375 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1328125 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.13671875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 29.640732210494463 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 (neg.f64 z) y x) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 31.151704954269857 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| accuracy | 0.1328125 | (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) | |
| accuracy | 0.13671875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.221035009768442 | (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.23046875 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
| 124.0ms | 256× | 0 | valid |
Compiled 274 to 36 computations (86.9% saved)
ival-mult: 61.0ms (60.1% of total)ival-pow2: 10.0ms (9.8% of total)ival-cos: 7.0ms (6.9% of total)ival-add: 6.0ms (5.9% of total)ival-sin: 6.0ms (5.9% of total)ival-div: 5.0ms (4.9% of total)ival-sub: 4.0ms (3.9% of total)ival-neg: 2.0ms (2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
0 |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* 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))))))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(+ 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))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y)))) |
(pow (cos y) 2) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | z | @ | -inf | ((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z)) |
| 32.0ms | x | @ | inf | ((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z)) |
| 7.0ms | y | @ | inf | ((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z)) |
| 5.0ms | x | @ | 0 | ((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z)) |
| 4.0ms | y | @ | -inf | ((/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y))) (* 0 (sin y)) (pow (* 0 (sin y)) 2) (* 1 (cos y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* 1 (cos y)) 2) (* x (/ (- (pow (* 0 (sin y)) 2) (pow (* 1 (cos y)) 2)) (neg (cos y)))) (pow (* (sin y) z) 2) (* (sin y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 1051 |
| 1 | 987 | 1014 |
| 2 | 3667 | 996 |
| 0 | 8089 | 930 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (sin y) x) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(* (pow x 2) (pow (cos y) 2)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
0 |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(* 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))))))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(+ 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))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(* y (+ (* -1 z) (/ x y))) |
(* z (sin y)) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y)))) |
(pow (cos y) 2) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) x) (/.f64 (neg.f64 z) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
0 |
#s(literal 0 binary64) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) x x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y) z) y x) |
(pow x 2) |
(*.f64 x x) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 x x)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (neg.f64 (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (*.f64 x x)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (neg.f64 (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (*.f64 x x)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)) |
(*.f64 (+.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y))) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 1/3 binary64) (*.f64 (neg.f64 x) x)) y) y (*.f64 x x)) |
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal -2/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) y) y (*.f64 (neg.f64 x) x)) (*.f64 y y) (*.f64 x x)) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 y y) z) z) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z)) y) y) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 y y) (*.f64 z z)) (*.f64 y y)) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 z z) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))))) (*.f64 y y)) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) z) (/.f64 x z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 203 |
| 0 | 67 | 148 |
| 1 | 270 | 148 |
| 2 | 1606 | 148 |
| 0 | 8445 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (sin.f64 y)) |
(pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(fma.f64 (neg.f64 z) y x) |
(neg.f64 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)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (cos.f64 y) (cos.f64 y)) (/.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (cos.f64 y) (cos.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 y))) (fabs.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (neg.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (cos.f64 y)))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (cos.f64 y))))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))))) |
(/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) |
(neg.f64 (neg.f64 (cos.f64 y))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (cos.f64 y) (cos.f64 y)) (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (cos.f64 y) (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (sqrt.f64 (cos.f64 y))) (fabs.f64 (sqrt.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (cos.f64 y)) |
(fma.f64 (neg.f64 (cos.f64 y)) (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) #s(literal 0 binary64)) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)))))) (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (cos.f64 y))) (neg.f64 (cos.f64 y))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (cos.f64 y))) (neg.f64 (cos.f64 y))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (-.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (log.f64 (cos.f64 y)))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (cos.f64 y)) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
(+.f64 (cos.f64 y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (cos.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) (/.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (/.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (cos.f64 y) (cos.f64 y)) (/.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (cos.f64 y) (cos.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (fabs.f64 (sqrt.f64 (cos.f64 y))) (fabs.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (neg.f64 (cos.f64 y))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) (cos.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64))) |
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(cos.f64 (neg.f64 y)) |
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#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
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(fma.f64 (neg.f64 z) y x) |
(fma.f64 z (neg.f64 y) x) |
(fma.f64 y (neg.f64 z) x) |
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(-.f64 x (*.f64 (neg.f64 (neg.f64 z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (neg.f64 z))) |
(-.f64 x (*.f64 z y)) |
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(+.f64 (*.f64 (neg.f64 z) y) x) |
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(neg.f64 z) |
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(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 x #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
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(-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
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(+.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x)) |
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
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(fma.f64 (/.f64 (cos.f64 y) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (cos.f64 y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (cos.f64 y))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 y) (cos.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) |
(-.f64 (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 y)) (cos.f64 y)) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (fma.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (PI.f64) y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (PI.f64) y) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 x (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (cos.f64 y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (cos.f64 y))) |
(*.f64 (/.f64 x (neg.f64 (cos.f64 y))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (sqrt.f64 (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (/.f64 x (cos.f64 y)) (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (fabs.f64 (*.f64 x #s(literal 1 binary64))) (cos.f64 y)) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (exp.f64 (log.f64 x)) (cos.f64 y)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (cos.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (fabs.f64 x) (cos.f64 y)) |
(*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (neg.f64 (cos.f64 y)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (fabs.f64 (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (cos.f64 y) (exp.f64 (log.f64 x))) |
(*.f64 (cos.f64 y) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (cos.f64 y) (fabs.f64 x)) |
(*.f64 (cos.f64 y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (neg.f64 (cos.f64 y))) |
(/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) |
(/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (cos.f64 y)) |
(/.f64 (*.f64 x (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (cos.f64 y))) |
(neg.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 (cos.f64 y)))) |
(neg.f64 (*.f64 x (neg.f64 (cos.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 x (neg.f64 (cos.f64 y)))) |
(fabs.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 z (sin.f64 y)) z)) (fabs.f64 (sin.f64 y))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y))) (fabs.f64 z)) |
(*.f64 (fabs.f64 (*.f64 z z)) (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fabs.f64 (*.f64 z z))) |
(*.f64 (fabs.f64 z) (fabs.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 (*.f64 z (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z) |
(*.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 z (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 z (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (*.f64 z (*.f64 z (sin.f64 y)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 z (sin.f64 y)))) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y))) |
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(fabs.f64 (*.f64 z (sin.f64 y))) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 z (sin.f64 y)))) (sinh.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
Compiled 33 456 to 4 136 computations (87.6% saved)
34 alts after pruning (32 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 982 | 25 | 1 007 |
| Fresh | 6 | 7 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 992 | 34 | 1 026 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 71.3% | (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 x (sqrt.f64 (cos.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 39.4% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 51.7% | (fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 73.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ▶ | 99.7% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
| 32.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (sin y) z) 2) (*.f64 (*.f64 (*.f64 y y) z) z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| ▶ | 21.2% | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| 99.7% | (-.f64 (*.f64 x (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 z (sin.f64 y))) | |
| 99.0% | (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 41.3% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| ✓ | 99.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 41.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 50.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 50.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) | |
| ▶ | 50.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
| 50.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| 90.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 x (cos.f64 y)))) | |
| ✓ | 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 77.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) | |
| 70.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) | |
| 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| 85.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) | |
| ▶ | 88.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 43.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| 43.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| 49.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) | |
| 31.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 61.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) | |
| ▶ | 18.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 1 496 to 1 035 computations (30.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) | |
| cost-diff | 0 | #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| cost-diff | 2 | (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cos.f64 y) x) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (sin.f64 y)) z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 299 |
| 0 | 75 | 299 |
| 1 | 131 | 291 |
| 2 | 276 | 291 |
| 3 | 678 | 291 |
| 4 | 1742 | 291 |
| 5 | 4902 | 291 |
| 0 | 8538 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
z |
(neg.f64 z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(neg.f64 y) |
y |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) y) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(/.f64 (*.f64 x (cos.f64 y)) z) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
z |
(sin.f64 y) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
#s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) |
#s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) |
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
z |
(neg.f64 z) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9608443984504356 | (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) | |
| accuracy | 3.6654197826998463 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) | |
| accuracy | 25.47682855679401 | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 33.687587259771355 | #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) | |
| accuracy | 0.1171875 | (/.f64 (*.f64 (cos.f64 y) x) z) | |
| accuracy | 0.1328125 | (*.f64 (cos.f64 y) x) | |
| accuracy | 7.429454152569166 | (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) | |
| accuracy | 0.03515625 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) | |
| accuracy | 0.04296875 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) | |
| accuracy | 0.17578125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 31.75913108408018 | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 30.674557662504917 | #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) | |
| accuracy | 31.151704954269857 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.09375 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| accuracy | 0.13671875 | (*.f64 (neg.f64 (sin.f64 y)) z) |
| 150.0ms | 256× | 0 | valid |
Compiled 244 to 42 computations (82.8% saved)
ival-pow2: 30.0ms (34.8% of total)ival-mult: 23.0ms (26.7% of total)ival-cos: 7.0ms (8.1% of total)ival-add: 6.0ms (7% of total)ival-sin: 5.0ms (5.8% of total)ival-sub: 4.0ms (4.6% of total)const: 4.0ms (4.6% of total)ival-div: 3.0ms (3.5% of total)ival-neg: 3.0ms (3.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
(cos.f64 y) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(neg.f64 (sin.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* (pow y 2) z)) |
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1/6 (/ (* (pow y 2) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x))))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(* y (+ (* -1/2 x) (* 1/6 (* y z)))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2))))))))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(* (pow y 2) z) |
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(cos y) |
(* y (+ (* -1 z) (/ x y))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y)))) |
(* z (pow (sin y) 2)) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2)))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | inf | ((+ (* (cos y) x) (* (neg (sin y)) z)) (cos y) (* (neg (sin y)) z) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (* (* (pow (sin y) 2) z) (neg z)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (* (pow (sin y) 2) z) (+ (* 1/6 (* z y)) (* -1/2 x)) (* (cos y) x)) |
| 6.0ms | z | @ | inf | ((+ (* (cos y) x) (* (neg (sin y)) z)) (cos y) (* (neg (sin y)) z) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (* (* (pow (sin y) 2) z) (neg z)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (* (pow (sin y) 2) z) (+ (* 1/6 (* z y)) (* -1/2 x)) (* (cos y) x)) |
| 5.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (neg (sin y)) z)) (cos y) (* (neg (sin y)) z) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (* (* (pow (sin y) 2) z) (neg z)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (* (pow (sin y) 2) z) (+ (* 1/6 (* z y)) (* -1/2 x)) (* (cos y) x)) |
| 4.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (neg (sin y)) z)) (cos y) (* (neg (sin y)) z) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (* (* (pow (sin y) 2) z) (neg z)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (* (pow (sin y) 2) z) (+ (* 1/6 (* z y)) (* -1/2 x)) (* (cos y) x)) |
| 4.0ms | z | @ | 0 | ((+ (* (cos y) x) (* (neg (sin y)) z)) (cos y) (* (neg (sin y)) z) (neg (sin y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) (- (* x (cos y)) (* z (sin y))) (* (- (/ (* (cos y) x) z) (sin y)) z) (- (/ (* (cos y) x) z) (sin y)) (/ (* (cos y) x) z) (* (* (pow (sin y) 2) z) (neg z)) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (* (pow (sin y) 2) z) (+ (* 1/6 (* z y)) (* -1/2 x)) (* (cos y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 420 | 1763 |
| 1 | 1499 | 1690 |
| 2 | 5928 | 1666 |
| 0 | 8873 | 1553 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(- (* 1/6 (* (pow y 2) z)) z) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(* 1/6 (* (pow y 2) z)) |
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (* x (cos y)) z) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(* 1/6 (* y z)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(* -1/2 (* x y)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(* x (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(* -1/2 x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1/6 (/ (* (pow y 2) z) x)) (* 1/2 y)))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x))))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 z) |
(- (* -1/2 (* x y)) z) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(* y (+ (* -1/2 x) (* 1/6 (* y z)))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2))))))))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(* (pow y 2) z) |
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(cos y) |
(* y (+ (* -1 z) (/ x y))) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y)))) |
(* z (pow (sin y) 2)) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 y) (/ x z))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2)))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(- (* 1/6 (* (pow y 2) z)) z) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z) |
(+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* 1/6 (* y z)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z y)) |
(+ (* -1/2 x) (* 1/6 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 y x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x) |
(* x (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x)))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) y)) x) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) x) (/.f64 z (neg.f64 x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/6 (/ (* y z) x)) 1/2)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) (neg.f64 x)))) |
(* -1 (* x (+ (* -1/6 (/ (* (pow y 2) z) x)) (* 1/2 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (/.f64 (*.f64 z y) x)) (*.f64 #s(literal 1/2 binary64) y))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal 1/2 binary64))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) 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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) y) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) y x) |
(* -1 z) |
(neg.f64 z) |
(- (* -1/2 (* x y)) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) |
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y (neg.f64 z)) |
(* y (+ (* -1/2 x) (* 1/6 (* y z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 y) (/ x z)) |
(-.f64 (/.f64 x z) y) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 y (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 y y) (/.f64 x z)) |
(* -1 (* (pow y 2) (pow z 2))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) z) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) y) y) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y y) (*.f64 (neg.f64 z) z)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2))))))))) |
(*.f64 (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/315 binary64) (*.f64 y y) #s(literal -2/45 binary64))))) (*.f64 y y)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y (neg.f64 z)) y x) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (*.f64 (neg.f64 z) z)) x))) y (neg.f64 z)) y x) |
(pow x 2) |
(*.f64 x x) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z)) y) y (*.f64 x x)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z))) (*.f64 y y) (*.f64 x x)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) (fma.f64 x x (*.f64 z z)))) (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 z) z))) (*.f64 y y) (*.f64 x x)) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) y) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 2/45 binary64) (*.f64 y y) #s(literal -1/3 binary64))) (*.f64 y y) z) (*.f64 y y)) |
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) z)) (*.f64 y y) z) (*.f64 y y)) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(cos y) |
(cos.f64 y) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) y) y) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) y)) (*.f64 y y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* x (cos y)) (* z (sin y)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(* z (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(* y (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) y) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) z))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 z (/.f64 x y)) (neg.f64 y))) (neg.f64 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 z y)) (neg.f64 y))) y) y) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) z))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) y) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) z) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) z) |
(* z (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) z) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) z) (/.f64 x z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* z (+ (* -1/2 (/ x z)) (* 1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 248 |
| 0 | 75 | 248 |
| 1 | 267 | 240 |
| 2 | 1707 | 240 |
| 0 | 8350 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
(cos.f64 y) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(neg.f64 (sin.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (cos.f64 y) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.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 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (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 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) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (neg.f64 (sin.f64 y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
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(fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) z) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) z (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) z)) y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (neg.f64 z) y) #s(literal 1/6 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) (*.f64 z y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))) |
(+.f64 (*.f64 (*.f64 z y) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (fabs.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 (fabs.f64 x) (fabs.f64 (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) (cos.f64 y))) |
(fabs.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (cos.f64 y))))) |
Compiled 15 888 to 1 946 computations (87.8% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 17 | 460 |
| Fresh | 14 | 13 | 27 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 459 | 35 | 494 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
| 73.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ✓ | 99.7% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
| 21.3% | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 37.0% | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 41.3% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| ✓ | 99.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 41.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 50.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 50.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) | |
| 50.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) | |
| 90.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 x (cos.f64 y)))) | |
| ✓ | 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 43.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) | |
| 35.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 51.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) | |
| 62.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) | |
| 70.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) | |
| ▶ | 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| 85.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) | |
| 65.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) z)) | |
| ▶ | 45.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
| ✓ | 88.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 31.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) | |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) | |
| ▶ | 31.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
| 61.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 35.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| ▶ | 17.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ✓ | 18.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 1 715 to 1 143 computations (33.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) | |
| cost-diff | 3 | (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| cost-diff | 0 | (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| cost-diff | 1 | (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 x (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 5 | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 330 |
| 0 | 79 | 327 |
| 1 | 149 | 312 |
| 2 | 319 | 312 |
| 3 | 776 | 312 |
| 4 | 2207 | 304 |
| 5 | 5094 | 304 |
| 0 | 8139 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 x (cos.f64 y)) |
x |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
z |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
(/.f64 x (cos.f64 y)) |
x |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)))) |
#s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
#s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
z |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y)))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y)))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 z x) (neg.f64 (sin.f64 y)))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 z x) (neg.f64 (sin.f64 y))) |
(neg.f64 z) |
z |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) |
(/.f64 (*.f64 x (cos.f64 y)) z) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(*.f64 x (cos.f64 y)) |
(sqrt.f64 (*.f64 x (cos.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.078125 | (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) | |
| accuracy | 0.213222509768442 | (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) | |
| accuracy | 3.8543188092595826 | (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z) | |
| accuracy | 0.0625 | (/.f64 (sin.f64 y) x) | |
| accuracy | 1.205690716794933 | (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) | |
| accuracy | 3.1118416983485484 | (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) | |
| accuracy | 21.131845237545708 | #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) | |
| accuracy | 0.1875 | (*.f64 #s(literal 1/6 binary64) y) | |
| accuracy | 2.8368607150368144 | (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) | |
| accuracy | 15.725746249882034 | #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) | |
| accuracy | 17.413606022364874 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0078125 | (-.f64 x (*.f64 z y)) | |
| accuracy | 17.151723155097834 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0.05859375 | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| accuracy | 0.0625 | (/.f64 x (cos.f64 y)) | |
| accuracy | 0.0625 | (*.f64 (neg.f64 (sin.f64 y)) z) | |
| accuracy | 0.12337875976844201 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| 104.0ms | 133× | 0 | valid |
| 86.0ms | 123× | 0 | invalid |
Compiled 238 to 45 computations (81.1% saved)
ival-pow2: 48.0ms (28.3% of total)ival-sin: 40.0ms (23.6% of total)ival-mult: 31.0ms (18.3% of total)ival-add: 25.0ms (14.7% of total)ival-cos: 9.0ms (5.3% of total)ival-div: 5.0ms (2.9% of total)ival-sub: 4.0ms (2.4% of total)const: 4.0ms (2.4% of total)ival-sqrt: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
(/.f64 x (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 #s(literal 1/6 binary64) y) |
(/.f64 (sin.f64 y) x) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) |
(*.f64 x (cos.f64 y)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ x (cos y)) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* x (cos y)) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (sin y) x) |
(/ (* x (cos y)) z) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(* -1 (/ (* x (* (cos y) (pow (sqrt -1) 2))) z)) |
(* -1 (* x (+ (/ (sin y) x) (/ (* (cos y) (pow (sqrt -1) 2)) z)))) |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
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 (* -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))) |
(+ x (* 1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* y z) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* -1 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* 1/6 y) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(pow (cos y) 2) |
(* y (- (/ x y) z)) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ x z) y)) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | -inf | ((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* z (+ (* (* 1/6 y) y) -1)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (pow (sqrt (* x (cos y))) 2) (- (* x (cos y)) (* z (sin y))) (* (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) z) (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (* (neg (sin y)) z) (* 1/6 y) (/ (sin y) x) (/ (pow (sqrt (* x (cos y))) 2) z) (* x (cos y))) |
| 23.0ms | z | @ | inf | ((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* z (+ (* (* 1/6 y) y) -1)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (pow (sqrt (* x (cos y))) 2) (- (* x (cos y)) (* z (sin y))) (* (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) z) (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (* (neg (sin y)) z) (* 1/6 y) (/ (sin y) x) (/ (pow (sqrt (* x (cos y))) 2) z) (* x (cos y))) |
| 4.0ms | z | @ | -inf | ((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* z (+ (* (* 1/6 y) y) -1)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (pow (sqrt (* x (cos y))) 2) (- (* x (cos y)) (* z (sin y))) (* (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) z) (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (* (neg (sin y)) z) (* 1/6 y) (/ (sin y) x) (/ (pow (sqrt (* x (cos y))) 2) z) (* x (cos y))) |
| 4.0ms | y | @ | -inf | ((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* z (+ (* (* 1/6 y) y) -1)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (pow (sqrt (* x (cos y))) 2) (- (* x (cos y)) (* z (sin y))) (* (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) z) (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (* (neg (sin y)) z) (* 1/6 y) (/ (sin y) x) (/ (pow (sqrt (* x (cos y))) 2) z) (* x (cos y))) |
| 4.0ms | z | @ | 0 | ((+ (* (pow (cos y) 2) (/ x (cos y))) (* (neg (sin y)) z)) (pow (cos y) 2) (cos y) (/ x (cos y)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (* (* z (+ (* (* 1/6 y) y) -1)) y) (- (* x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* z (+ (* (* 1/6 y) y) -1)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (pow (sqrt (* x (cos y))) 2) (- (* x (cos y)) (* z (sin y))) (* (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) z) (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (* (neg (sin y)) z) (* 1/6 y) (/ (sin y) x) (/ (pow (sqrt (* x (cos y))) 2) z) (* x (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 1301 |
| 1 | 1257 | 1246 |
| 2 | 4942 | 1210 |
| 0 | 8269 | 1134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ x (cos y)) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(* x (cos y)) |
(* -1 (sin y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(/ (sin y) x) |
(/ (* x (cos y)) z) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(* -1 (/ (* x (* (cos y) (pow (sqrt -1) 2))) z)) |
(* -1 (* x (+ (/ (sin y) x) (/ (* (cos y) (pow (sqrt -1) 2)) z)))) |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
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 (* -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))) |
(+ x (* 1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* y z) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* -1 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(* -1 (/ (* y z) x)) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(/ x z) |
(+ (* -1 y) (/ x z)) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* 1/6 y) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(pow (cos y) 2) |
(* y (- (/ x y) z)) |
(* 1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ x z) y)) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ x (cos y)) |
(/.f64 x (cos.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(- x (* y z)) |
(-.f64 x (*.f64 z y)) |
(* y (- (* 1/6 (* (pow y 2) z)) z)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z))) |
(fma.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(- (/ (* x (cos y)) z) (sin y)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (* x (cos y)) z) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) x)) x x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 z y) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) (neg.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -1 (* x (* (cos y) (pow (sqrt -1) 2)))) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* (cos y) (pow (sqrt -1) 2)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (/ (* x (* (cos y) (pow (sqrt -1) 2))) z)) |
(/.f64 (*.f64 (cos.f64 y) x) z) |
(* -1 (* x (+ (/ (sin y) x) (/ (* (cos y) (pow (sqrt -1) 2)) z)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ x (* 1/2 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/2 binary64) x) |
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x y) y) #s(literal 5/24 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 7/360 binary64) (*.f64 x #s(literal -5/48 binary64))) y) (neg.f64 y) (*.f64 #s(literal 5/24 binary64) x)) (*.f64 y y) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(* y z) |
(*.f64 z y) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* 1/6 (* (pow y 2) z))) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(* -1 (/ (* y z) x)) |
(*.f64 (/.f64 (neg.f64 z) x) y) |
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) x) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y) |
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* 1/6 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ z x)) (* 1/5040 (/ (* (pow y 2) z) x)))))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 y) (/ x z)) |
(-.f64 (/.f64 x z) y) |
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) y) #s(literal 1 binary64)) y (/.f64 x z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
(* 1/6 y) |
(*.f64 #s(literal 1/6 binary64) y) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 y x)) |
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 y y) (/.f64 x z)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(* y (- (/ x y) z)) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* 1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2)))) |
(*.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) y)) (pow.f64 y #s(literal 3 binary64))) |
(* 1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) |
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (/.f64 (neg.f64 z) y) y)) (*.f64 y y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (-.f64 z (/.f64 x y)) (neg.f64 y))) (neg.f64 y)))) |
(* y (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) y) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) y (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(* z (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) z) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z)) z) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) z) #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 288 |
| 0 | 79 | 281 |
| 1 | 278 | 270 |
| 2 | 1943 | 270 |
| 0 | 8495 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
(/.f64 x (cos.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z) |
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 #s(literal 1/6 binary64) y) |
(/.f64 (sin.f64 y) x) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) |
(*.f64 x (cos.f64 y)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))) (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (cos.f64 y)) (cos.f64 y)) (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (cos.f64 y) (*.f64 (cos.f64 y) (/.f64 x (cos.f64 y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 (/.f64 x (cos.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (/.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 (cos.f64 y)))) |
(*.f64 (neg.f64 (cos.f64 y)) (neg.f64 (cos.f64 y))) |
(*.f64 (cos.f64 y) (cos.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 y))) |
(pow.f64 (neg.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (neg.f64 y) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (PI.f64) y))) (sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (PI.f64) y))) (sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y))) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y)) (sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y)))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (PI.f64) y))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (PI.f64)) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) y))) (cos.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (neg.f64 y) (PI.f64)))) (cos.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (neg.f64 y) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (PI.f64) y))) (cos.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (PI.f64) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (neg.f64 y)) y)) (cos.f64 (-.f64 (neg.f64 (neg.f64 y)) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 (neg.f64 y) (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 (neg.f64 y)))) (cos.f64 (-.f64 y (neg.f64 (neg.f64 y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 y) y)) (cos.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 y (neg.f64 y))) (cos.f64 (-.f64 y (neg.f64 y)))) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(fabs.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (log.f64 (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 y) (PI.f64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (neg.f64 (sqrt.f64 (cos.f64 y)))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y))) |
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (cos.f64 y))) |
(fabs.f64 (cos.f64 y)) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y)))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 y))) |
(cos.f64 (neg.f64 y)) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (cos.f64 y)))) |
(/.f64 (neg.f64 x) (neg.f64 (cos.f64 y))) |
(/.f64 x (cos.f64 y)) |
(neg.f64 (/.f64 (neg.f64 x) (cos.f64 y))) |
(neg.f64 (/.f64 x (neg.f64 (cos.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z y x)) (*.f64 (fma.f64 z y x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (fma.f64 z y x) (fma.f64 z y x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 z) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 z y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 y) z)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 z) y)) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (neg.f64 y) z)) |
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (neg.f64 z) y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) z)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 z) y x) |
(fma.f64 y (neg.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 z)) y)) |
(-.f64 x (*.f64 z y)) |
(+.f64 (*.f64 (neg.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 y) z)) |
(+.f64 x (*.f64 (neg.f64 z) y)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 z y)) |
(*.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y)) |
(*.f64 y (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) y (*.f64 (neg.f64 z) y)) |
(fma.f64 y (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (*.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) y) (*.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) (*.f64 (neg.f64 z) y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y))) |
#s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64)) z) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -1 binary64))))) |
(/.f64 (*.f64 z (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 z (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (neg.f64 z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (neg.f64 z))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z (neg.f64 z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 z y) (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) |
(fma.f64 (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 z)) |
(fma.f64 z (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) |
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (*.f64 #s(literal 1 binary64) z)) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (*.f64 (neg.f64 z) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) |
(*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x) |
(*.f64 x #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)))) |
#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(*.f64 z (neg.f64 (/.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (sin.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 x (cos.f64 y)))) |
(fabs.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (cos.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) z) |
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (*.f64 (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (+.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 (*.f64 z (sin.f64 y))) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 y #s(literal 1/6 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(/.f64 (sin.f64 y) (neg.f64 (neg.f64 x))) |
(/.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (/.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 x (cos.f64 y)) z) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (cos.f64 y))) z)) |
(neg.f64 (/.f64 (*.f64 x (cos.f64 y)) (neg.f64 z))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x))) (sqrt.f64 (cos.f64 y))) |
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 x (*.f64 x (cos.f64 y))))) |
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y)))) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))) |
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 x (cos.f64 y)))) |
(fabs.f64 (*.f64 x (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (*.f64 x (cos.f64 y)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 x (cos.f64 y)))) (sinh.f64 (log.f64 (*.f64 x (cos.f64 y))))) |
Compiled 12 039 to 1 806 computations (85% saved)
42 alts after pruning (33 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 18 | 396 |
| Fresh | 10 | 15 | 25 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 389 | 42 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
| 99.1% | (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 99.4% | (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) | |
| 73.9% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| ✓ | 99.7% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
| 21.3% | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) | |
| 37.0% | (/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 41.3% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) | |
| ✓ | 99.7% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 41.4% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 50.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 50.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 90.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 x (cos.f64 y)))) | |
| 25.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) | |
| ✓ | 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
| 43.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) | |
| 35.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 51.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) | |
| 70.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) | |
| ✓ | 51.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| ✓ | 45.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
| ✓ | 88.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) | |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 31.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) | |
| 88.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) | |
| 26.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x)) | |
| ✓ | 31.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
| 16.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) | |
| 61.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) | |
| 10.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) | |
| 10.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) | |
| 40.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| 17.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) | |
| 35.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) | |
| 17.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) | |
| 17.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) | |
| 17.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) | |
| 3.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) | |
| ✓ | 18.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Compiled 3 306 to 1 176 computations (64.4% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 x (cos.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (sin y) z) 2) (*.f64 (*.f64 (*.f64 y y) z) z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 x (sqrt.f64 (cos.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (neg.f64 (cos.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)))) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
4 calls:
| 50.0ms | z |
| 47.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 42.0ms | x |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z)) x (*.f64 x (cos.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) z) (sin.f64 y)) z)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 #s(approx (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) #s(approx (pow (* (sin y) z) 2) (*.f64 (*.f64 (*.f64 y y) z) z))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 y))) (/.f64 x (sqrt.f64 (cos.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 59.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 26.0ms | y |
| 17.0ms | x |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 31.0ms | x |
| 11.0ms | z |
| 11.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 85.0% | 3 | x |
| 79.4% | 3 | y |
| 89.2% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
| 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 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
1 calls:
| 27.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
2 calls:
| 131.0ms | z |
| 29.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 3 | x |
| 79.9% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) |
3 calls:
| 53.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 28.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 76.2% | 3 | y |
| 71.7% | 3 | z |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (/.f64 x z)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (* (cos y) x) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (pow (sqrt (* x (cos y))) 2) z) (sin y)) (-.f64 (/.f64 x z) y)) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (* z (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 x z)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) z) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) z) y (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(approx (+ (* 1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y))) y) z) y x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) x)) x)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) x) y))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) z)) x) (*.f64 y y) (/.f64 (neg.f64 z) x)) y))) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 36.0ms | x |
| 10.0ms | z |
| 9.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 51.3% | 1 | z |
| 51.3% | 1 | x |
| 51.3% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 3.0ms | x |
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | x |
| 51.3% | 1 | y |
| 51.3% | 1 | z |
| 51.3% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
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 |
|---|---|---|
| 18.2% | 1 | x |
| 18.2% | 1 | y |
| 18.2% | 1 | z |
| 18.2% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 5.589878723733881e-90 | 4.477587743285312e-80 |
| 18.0ms | -1.9197265385389428e+30 | -9.617366358916429e+26 |
| 29.0ms | 288× | 0 | valid |
Compiled 660 to 518 computations (21.5% saved)
ival-sin: 8.0ms (39.6% of total)ival-cos: 7.0ms (34.6% of total)ival-mult: 4.0ms (19.8% of total)ival-sub: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.589878723733881e-90 | 4.477587743285312e-80 |
| 1.0ms | -1.9197265385389428e+30 | -9.617366358916429e+26 |
Compiled 660 to 518 computations (21.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.913226756719905e+91 | 1.982563344352516e+109 |
| 18.0ms | -3.0612785683542427e+86 | -2.0039858980765045e+82 |
| 30.0ms | 288× | 0 | valid |
Compiled 732 to 554 computations (24.3% saved)
ival-cos: 9.0ms (40.3% of total)ival-mult: 6.0ms (26.9% of total)ival-sin: 6.0ms (26.9% of total)ival-sub: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6.716617944069949e-10 | 343.9537376590818 |
| 15.0ms | -0.001457668327942359 | -5.12458054888548e-5 |
| 21.0ms | 272× | 0 | valid |
Compiled 777 to 558 computations (28.2% saved)
ival-mult: 7.0ms (49% of total)ival-cos: 3.0ms (21% of total)ival-sub: 2.0ms (14% of total)ival-sin: 2.0ms (14% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 282 |
| 1 | 137 | 277 |
| 2 | 200 | 277 |
| 3 | 277 | 277 |
| 4 | 362 | 277 |
| 5 | 544 | 277 |
| 6 | 971 | 277 |
| 7 | 1853 | 277 |
| 8 | 3574 | 277 |
| 9 | 7093 | 277 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -1199999999999999988457275392 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 1476394239228533/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1199999999999999988457275392 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 1476394239228533/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 320000000000000006470041320689903036344350823428594477164088593986561281599412578994783304810496 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -208967022709991/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 4842270319348757/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -1199999999999999988457275392 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 1476394239228533/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -1199999999999999988457275392 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 1476394239228533/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -1199999999999999988457275392 binary64)) (not (<=.f64 z #s(literal 1476394239228533/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)))) (-.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 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))) |
(if (<=.f64 z #s(literal -219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 320000000000000006470041320689903036344350823428594477164088593986561281599412578994783304810496 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) (not (<=.f64 z #s(literal 320000000000000006470041320689903036344350823428594477164088593986561281599412578994783304810496 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))) |
(if (<=.f64 y #s(literal -208967022709991/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 4842270319348757/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))) |
(if (or (<=.f64 y #s(literal -208967022709991/144115188075855872 binary64)) (not (<=.f64 y #s(literal 4842270319348757/1152921504606846976 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 1051 |
| 1 | 987 | 1014 |
| 2 | 3667 | 996 |
| 0 | 8089 | 930 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 38 | 19 |
| 2 | 239 | 19 |
| 3 | 2445 | 19 |
| 0 | 8361 | 19 |
| 0 | 39 | 203 |
| 0 | 67 | 148 |
| 1 | 270 | 148 |
| 2 | 1606 | 148 |
| 0 | 8445 | 148 |
| 0 | 97 | 265 |
| 1 | 344 | 258 |
| 2 | 1199 | 252 |
| 3 | 4495 | 246 |
| 0 | 8267 | 227 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 282 to 78 computations (72.3% saved)
Compiled 582 to 172 computations (70.4% saved)
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