
Time bar (total: 4.9s)
| 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)
| 628.0ms | 8 256× | 0 | valid |
ival-sin: 172.0ms (37.7% of total)ival-cos: 143.0ms (31.3% of total)ival-mult: 101.0ms (22.1% of total)ival-add: 34.0ms (7.4% of total)ival-true: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 42.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 10.0ms (35.8% of total)ival-cos: 9.0ms (32.2% of total)ival-mult: 6.0ms (21.5% of total)ival-add: 2.0ms (7.2% of total)ival-true: 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 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.08984375 | (*.f64 x (sin.f64 y)) | |
| accuracy | 0.13671875 | (*.f64 z (cos.f64 y)) |
| 23.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-cos: 6.0ms (38.6% of total)ival-sin: 5.0ms (32.1% of total)ival-mult: 3.0ms (19.3% of total)ival-add: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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))) |
(sin y) |
(cos y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 288 |
| 1 | 344 | 284 |
| 2 | 981 | 274 |
| 3 | 2645 | 268 |
| 4 | 4662 | 268 |
| 5 | 6960 | 268 |
| 0 | 8192 | 233 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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))) |
(sin y) |
(cos y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (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 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (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)) y) |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
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(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x))) |
(sin.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (cos.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (cos.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z))) |
(cos.f64 y) |
Compiled 7 735 to 575 computations (92.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 14 | 199 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 186 | 14 | 200 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ▶ | 69.4% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
| 58.7% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| ▶ | 59.0% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
| 38.0% | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 80.3% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| 37.5% | (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 58.8% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 52.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 52.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 53.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| ▶ | 58.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 660 to 390 computations (40.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| cost-diff | 41920 | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) | |
| cost-diff | 27392 | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 264 |
| 0 | 50 | 220 |
| 1 | 82 | 220 |
| 2 | 150 | 219 |
| 3 | 417 | 219 |
| 4 | 1148 | 219 |
| 5 | 2928 | 219 |
| 6 | 4443 | 219 |
| 7 | 6306 | 219 |
| 0 | 8024 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
x |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
x |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 3.222939048901606 | (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 3.2953724360643264 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 19.536321661145042 | (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 0.13671875 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.22265625 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 2.0507709291510294 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 26.171950531674668 | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.13671875 | (*.f64 (cos.f64 y) z) | |
| accuracy | 26.323109555259634 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 29.61657706783088 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.13671875 | (*.f64 (cos.f64 y) z) |
| 57.0ms | 256× | 0 | valid |
Compiled 531 to 59 computations (88.9% saved)
ival-mult: 11.0ms (27.4% of total)ival-sin: 6.0ms (14.9% of total)ival-pow2: 6.0ms (14.9% of total)ival-add: 5.0ms (12.4% of total)ival-cos: 5.0ms (12.4% of total)ival-div: 4.0ms (10% of total)ival-neg: 2.0ms (5% of total)ival-sub: 1.0ms (2.5% 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 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (sin y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) |
(* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y)))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(* x (pow (sin y) 2)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y)))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) |
(- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))) x))) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x))) x))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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))) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 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 x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* -1 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) z)) (+ (* -1/6 (/ (pow x 2) (pow z 2))) (* 1/2 (/ (pow x 2) (pow z 2))))))) (* 1/3 (/ x z))) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(cos y) |
(* y (+ x (/ z y))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (* x (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(+ (sin y) (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 2) (sin y))) (* -1 (/ (cos y) x))))) |
(+ (sin y) (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (sin y)))))) (* -1 (/ (cos y) x))))) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(/ (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 4) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (/ (+ (/ (* x (pow (sin y) 2)) (cos y)) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | z | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (pow (sin y) 2) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 5.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (pow (sin y) 2) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 5.0ms | x | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (pow (sin y) 2) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 5.0ms | y | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (pow (sin y) 2) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 5.0ms | x | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (* (sin y) x) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (pow (sin y) 2) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 3522 |
| 1 | 2430 | 3327 |
| 0 | 8258 | 3144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* x (sin y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) |
(* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y)))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(* x (pow (sin y) 2)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y)))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) |
(- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))) x))) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x))) x))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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))) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 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 x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* -1 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) z)) (+ (* -1/6 (/ (pow x 2) (pow z 2))) (* 1/2 (/ (pow x 2) (pow z 2))))))) (* 1/3 (/ x z))) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(cos y) |
(* y (+ x (/ z y))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (* x (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(+ (sin y) (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 2) (sin y))) (* -1 (/ (cos y) x))))) |
(+ (sin y) (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (sin y)))))) (* -1 (/ (cos y) x))))) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(/ (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 4) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (/ (+ (/ (* x (pow (sin y) 2)) (cos y)) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z))))) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (sin.f64 y)) x (*.f64 (cos.f64 y) z)) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(fma.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x (*.f64 (cos.f64 y) z)) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) x (sin.f64 y)) x (*.f64 (cos.f64 y) z)) |
(* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) |
(* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (cos.f64 y)))) x) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) x (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (cos.f64 y)))) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(* -1 (* z (cos y))) |
(*.f64 (neg.f64 z) (cos.f64 y)) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(neg.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y))) x (*.f64 (neg.f64 z) (cos.f64 y))) |
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y)))) |
(fma.f64 (neg.f64 (cos.f64 y)) z (*.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) (neg.f64 (sin.f64 y))) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (-.f64 (sin.f64 y) (/.f64 #s(literal 0 binary64) (*.f64 x x)))) x) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)))) x) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) |
(fma.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 (cos.f64 y) x)) z (sin.f64 y)) |
(- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 (cos.f64 y) x)) z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y))) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (sin.f64 y) x)) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
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(fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(+ (sin y) (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 2) (sin y))) (* -1 (/ (cos y) x))))) |
(fma.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (/.f64 (cos.f64 y) x)) z (sin.f64 y)) |
(+ (sin y) (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (sin y)))))) (* -1 (/ (cos y) x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (sin.f64 y))) z (/.f64 (cos.f64 y) x)) z (sin.f64 y)) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
(* z (+ 1 (/ (* x y) z))) |
(*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (fma.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))) z) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (/.f64 (*.f64 x x) z) z) (cos.f64 y)))) z) |
(/ (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 4) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (fma.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))) z) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x)) z) (cos.f64 y)) z) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) z) #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cos.f64 y)))) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) y) z) (neg.f64 z) z) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (cos.f64 y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x)) z)) z) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y)))) (neg.f64 z))) (neg.f64 z)) (cos.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (/ (* x (pow (sin y) 2)) (cos y)) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (cos.f64 y))) (/.f64 (fma.f64 (*.f64 x x) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(*.f64 (neg.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))) z) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x)) z)) (neg.f64 z)) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z))))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y))) (neg.f64 z))) z)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 188 |
| 0 | 50 | 144 |
| 1 | 193 | 144 |
| 2 | 1334 | 144 |
| 0 | 8328 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (cos.f64 y) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 z (*.f64 z (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cos.f64 y) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (sin.f64 y)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (cos.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (/.f64 (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) (sin.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 y))) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))))) |
(-.f64 (/.f64 (cos.f64 (-.f64 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))) |
Compiled 48 348 to 3 255 computations (93.3% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 967 | 26 | 993 |
| Fresh | 6 | 3 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 975 | 32 | 1 007 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 55.3% | (fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 80.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 50.0% | (fma.f64 (exp.f64 (log.f64 (sin.f64 y))) x (*.f64 (cos.f64 y) z)) | |
| 36.3% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 96.5% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) | |
| 69.4% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) | |
| 75.8% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 69.8% | (fma.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 34.2% | (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 58.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) | |
| 80.3% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) | |
| ▶ | 58.8% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
| 27.1% | #s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) | |
| 52.9% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 52.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| 86.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| ▶ | 88.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
| 91.0% | #s(approx (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (cos.f64 y)) (neg.f64 z))) | |
| ✓ | 53.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 33.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ▶ | 53.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
| ✓ | 58.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 38.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 40.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 47.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) | |
| ▶ | 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 1 594 to 1 000 computations (37.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 27712 | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) | |
| cost-diff | 0 | (fma.f64 x y z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 278 |
| 0 | 67 | 240 |
| 1 | 103 | 239 |
| 2 | 223 | 237 |
| 3 | 679 | 237 |
| 4 | 2489 | 235 |
| 5 | 5311 | 235 |
| 0 | 8167 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y z)) |
(fma.f64 x y z) |
x |
y |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(cos.f64 y) |
y |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) |
(fma.f64 x y z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y z)) |
(fma.f64 x y z) |
x |
y |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(cos.f64 y) |
y |
(/.f64 z x) |
z |
x |
(sin.f64 y) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) | |
| accuracy | 0.22265625 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 1.9999917433208234 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 26.18595429144311 | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) | |
| accuracy | 0.07259750976844201 | (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) | |
| accuracy | 7.1923208833221395 | (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) | |
| accuracy | 0 | (fma.f64 x y z) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) | |
| accuracy | 0.40042291805743463 | (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) | |
| accuracy | 29.61657706783088 | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 29.61657706783088 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) | |
| accuracy | 31.584174077777586 | #s(approx (+ (* y x) z) (*.f64 x y)) | |
| accuracy | 0.06640625 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.08984375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 0.20703125 | (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 66.0ms | 256× | 0 | valid |
Compiled 532 to 79 computations (85.2% saved)
ival-mult: 12.0ms (25.2% of total)ival-div: 7.0ms (14.7% of total)ival-add: 6.0ms (12.6% of total)ival-cos: 6.0ms (12.6% of total)ival-sin: 5.0ms (10.5% of total)ival-pow2: 4.0ms (8.4% of total)ival-pow: 4.0ms (8.4% of total)ival-sub: 2.0ms (4.2% of total)ival-neg: 2.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y z)) |
(fma.f64 x y z) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
z |
(+ z (* x y)) |
(* x y) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z)) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* x (sin y)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ -1 (* z (cos y))) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(* x (+ y (/ z x))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 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 (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 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 x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(* -1 z) |
(- (* x y) z) |
(- (* y (+ x (* 1/2 (* y z)))) z) |
(- (* y (+ x (* y (- (* -1/6 (* x y)) (* -1/2 z))))) z) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (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)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(cos y) |
(* y (+ x (/ z y))) |
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(* z (+ 1 (/ (* x y) z))) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* z (- (/ (* x (sin y)) z) (cos y))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (/ (- (/ (* x y) z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z)) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y))))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (sin y) x) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 8.0ms | x | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (sin y) x) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 4.0ms | y | @ | 0 | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (sin y) x) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 4.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (sin y) x) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 4.0ms | y | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (sin y) x) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 3260 |
| 1 | 2210 | 3147 |
| 2 | 7219 | 3096 |
| 0 | 8119 | 2981 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
z |
(+ z (* x y)) |
(* x y) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z)) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* x (sin y)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ -1 (* z (cos y))) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(* x (+ y (/ z x))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 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 (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 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 x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(* -1 z) |
(- (* x y) z) |
(- (* y (+ x (* 1/2 (* y z)))) z) |
(- (* y (+ x (* y (- (* -1/6 (* x y)) (* -1/2 z))))) z) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (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)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(cos y) |
(* y (+ x (/ z y))) |
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2))) |
(+ (* -1 (* z (cos y))) (* x (sin y))) |
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(* z (+ 1 (/ (* x y) z))) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* z (- (/ (* x (sin y)) z) (cos y))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (/ (- (/ (* x y) z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z)) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y))))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z))) z) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) x (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(* x y) |
(*.f64 x y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z)) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 z z))) x (/.f64 #s(literal 1 binary64) z)) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x (/.f64 (neg.f64 y) (*.f64 z z))) x (/.f64 #s(literal 1 binary64) z)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) x) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* -1 (* z (cos y))) |
(*.f64 (neg.f64 z) (cos.f64 y)) |
(- (* x (sin y)) (* z (cos y))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(* (pow z 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(/ -1 (* z (cos y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z)) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 z)) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 y) z) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) x (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (fma.f64 (neg.f64 (*.f64 z (/.f64 (/.f64 z x) x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x)))) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 z x)) (/.f64 z (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 z (*.f64 (*.f64 y y) x)) (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 z x) x)))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) x) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x))) (neg.f64 x))) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 z (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 z x)) (/.f64 z (*.f64 y y))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (neg.f64 z) (*.f64 y y)) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) x)) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y)))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (-.f64 (*.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) x)) x)) (neg.f64 x)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) y (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z)) z) #s(literal 1 binary64)) z) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) x (*.f64 (*.f64 (neg.f64 x) x) (*.f64 y (/.f64 y (*.f64 z z)))))) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(* z (- (/ (* x (sin y)) z) (cos y))) |
(*.f64 (-.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (cos.f64 y)) z) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 z)) |
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(*.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))) |
(* -1 (/ (- (/ (* x y) z) 1) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) y (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) z)) z)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) y (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (cos.f64 y) x))) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 223 |
| 0 | 67 | 187 |
| 1 | 251 | 186 |
| 2 | 1427 | 186 |
| 0 | 8233 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* y x) z) (*.f64 x y)) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y z)) |
(fma.f64 x y z) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) x) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 x (sin.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
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(neg.f64 (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))) |
Compiled 40 315 to 3 803 computations (90.6% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 986 | 16 | 1 002 |
| Fresh | 7 | 17 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 996 | 38 | 1 034 |
| Status | Accuracy | Program |
|---|---|---|
| 82.4% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ▶ | 80.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 50.0% | (fma.f64 (exp.f64 (log.f64 (sin.f64 y))) x (*.f64 (cos.f64 y) z)) | |
| 36.3% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| ▶ | 96.5% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
| 75.8% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 34.2% | (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| 59.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) | |
| 58.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 34.2% | (*.f64 (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 27.1% | #s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) | |
| ▶ | 52.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
| 52.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| 88.5% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y))))) | |
| ▶ | 88.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) |
| 86.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| ✓ | 88.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
| 69.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))) x)) | |
| 46.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 46.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 41.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) | |
| 91.0% | #s(approx (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (cos.f64 y)) (neg.f64 z))) | |
| ✓ | 53.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 33.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| 13.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) | |
| 39.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) | |
| 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) | |
| 40.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) | |
| ✓ | 58.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 38.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ▶ | 40.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 47.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) | |
| ✓ | 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 1 971 to 1 285 computations (34.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x) | |
| cost-diff | 6080 | (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) | |
| cost-diff | 6848 | (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) | |
| cost-diff | 128 | (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))) | |
| cost-diff | 6080 | (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 373 |
| 0 | 89 | 371 |
| 1 | 149 | 367 |
| 2 | 295 | 350 |
| 3 | 794 | 346 |
| 4 | 1653 | 344 |
| 5 | 3349 | 344 |
| 6 | 5480 | 344 |
| 7 | 7125 | 344 |
| 0 | 8074 | 338 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
x |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))) |
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 z (cos.f64 y)) |
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(*.f64 x (sin.f64 y)) |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 x y) |
x |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
y |
x |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(cos.f64 y) |
y |
(pow.f64 z #s(literal -1 binary64)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 z z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
x |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (cos.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) (*.f64 z z)) |
(*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
#s(literal -1 binary64) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 (*.f64 y x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x)) |
(sin.f64 y) |
y |
x |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) |
(fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
(pow.f64 z #s(literal -1 binary64)) |
z |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) | |
| accuracy | 0.17416000976844204 | (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) | |
| accuracy | 0.27962875976844204 | (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) | |
| accuracy | 7.1923208833221395 | (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| accuracy | 0.13671875 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| accuracy | 27.489713228020282 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) | |
| accuracy | 0.12890625 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 30.157723632636937 | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| accuracy | 0.13671875 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| accuracy | 26.323109555259634 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| accuracy | 27.489713228020282 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.21875 | (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) | |
| accuracy | 0.26953125 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 3.222939048901606 | (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 3.2953724360643264 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
| 89.0ms | 256× | 0 | valid |
Compiled 720 to 101 computations (86% saved)
ival-mult: 23.0ms (33.6% of total)ival-pow: 14.0ms (20.5% of total)ival-add: 9.0ms (13.1% of total)ival-sin: 6.0ms (8.8% of total)ival-cos: 5.0ms (7.3% of total)ival-div: 4.0ms (5.8% of total)const: 3.0ms (4.4% of total)ival-neg: 2.0ms (2.9% of total)ival-pow2: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
(/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
-1 |
(- (* -1 (/ (* x (sin y)) (* z (cos y)))) 1) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (/ (sin y) (* z (cos y))))) 1) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))) (/ (sin y) (* z (cos y))))) 1) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) |
(* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y)))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(* x (pow (sin y) 2)) |
(/ (* z (cos y)) (* x (sin y))) |
(/ (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) |
(- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1 (/ (+ (* -1 (/ (* z (cos y)) (sin y))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* z (cos y)) (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* z (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 4)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))) x))) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x))) x))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 2))) (/ x z))) 1) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3)))))) (/ (pow x 2) (pow z 2)))) (/ x z))) 1) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
(* -1 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) z)) (+ (* -1/6 (/ (pow x 2) (pow z 2))) (* 1/2 (/ (pow x 2) (pow z 2))))))) (* 1/3 (/ x z))) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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 |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(/ (* z (cos y)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (* x (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(cos y) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(pow (sin y) 2) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* z (+ (/ (cos y) (* x (sin y))) (/ (* z (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))))) |
(* z (+ (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (pow (sin y) 2)))))) (/ (cos y) (* x (sin y))))) |
(* z (+ (* z (- (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 3) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (pow (sin y) 2)))))) (/ (cos y) (* x (sin y))))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (sin y) (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 2) (sin y))) (* -1 (/ (cos y) x))))) |
(+ (sin y) (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (sin y)))))) (* -1 (/ (cos y) x))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (+ 1 (/ (* x (sin y)) (* z (cos y))))) |
(- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (+ 1 (+ (/ (* x (sin y)) (* z (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(/ (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 4) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(- (* -1 (/ (+ (/ (* x (sin y)) (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)) 1) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 2))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 3))))) z)) (/ (* x (sin y)) (cos y))) z)) 1) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (/ (+ (/ (* x (pow (sin y) 2)) (cos y)) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)))) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1))))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (/ (cos y) (pow z -1)) (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (* (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (pow (sin y) 2) x) (pow (sin y) 2)) |
| 4.0ms | y | @ | inf | ((* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)))) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1))))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (/ (cos y) (pow z -1)) (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (* (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (pow (sin y) 2) x) (pow (sin y) 2)) |
| 4.0ms | y | @ | -inf | ((* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)))) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1))))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (/ (cos y) (pow z -1)) (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (* (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (pow (sin y) 2) x) (pow (sin y) 2)) |
| 3.0ms | z | @ | inf | ((* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)))) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1))))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (/ (cos y) (pow z -1)) (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (* (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (pow (sin y) 2) x) (pow (sin y) 2)) |
| 3.0ms | x | @ | 0 | ((* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1)))) (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (* (* z (cos y)) (* (* z (cos y)) (pow (+ (* (neg z) (cos y)) (* x (sin y))) -1))))) (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (/ (cos y) (pow z -1)) (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (* (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (* (pow (sin y) 2) x) (pow (sin y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 768 | 3666 |
| 1 | 2667 | 3472 |
| 0 | 8381 | 3261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -1 (/ (* x (sin y)) (* z (cos y)))) 1) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (/ (sin y) (* z (cos y))))) 1) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))) (/ (sin y) (* z (cos y))))) 1) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) |
(* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y)))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(* x (pow (sin y) 2)) |
(/ (* z (cos y)) (* x (sin y))) |
(/ (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) |
(- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1 (/ (+ (* -1 (/ (* z (cos y)) (sin y))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* z (cos y)) (sin y))) (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* z (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 4)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))))) x))) |
(+ (sin y) (* -1 (/ (+ (* -1 (* z (cos y))) (* -1 (/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x))) x))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(- (* -1 (/ (* x y) z)) 1) |
(- (* y (- (* -1 (/ (* (pow x 2) y) (pow z 2))) (/ x z))) 1) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3)))))) (/ (pow x 2) (pow z 2)))) (/ x z))) 1) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
(* -1 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(* (pow y 2) (+ (* -1 (/ x z)) (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ x z)) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) z)) (+ (* -1/6 (/ (pow x 2) (pow z 2))) (* 1/2 (/ (pow x 2) (pow z 2))))))) (* 1/3 (/ x z))) (+ (* 1/2 (/ x z)) (/ (pow x 3) (pow z 3))))) (/ (pow x 2) (pow z 2)))))) |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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 |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(/ (* z (cos y)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (* x (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(cos y) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(pow (sin y) 2) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* z (+ (/ (cos y) (* x (sin y))) (/ (* z (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))))) |
(* z (+ (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (pow (sin y) 2)))))) (/ (cos y) (* x (sin y))))) |
(* z (+ (* z (- (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 3) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (pow (sin y) 2)))))) (/ (cos y) (* x (sin y))))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (sin y) (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 2) (sin y))) (* -1 (/ (cos y) x))))) |
(+ (sin y) (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (sin y)))))) (* -1 (/ (cos y) x))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (+ 1 (/ (* x (sin y)) (* z (cos y))))) |
(- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (+ 1 (+ (/ (* x (sin y)) (* z (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(/ (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 4) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(- (* -1 (/ (+ (/ (* x (sin y)) (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)) 1) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 2))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 3))))) z)) (/ (* x (sin y)) (cos y))) z)) 1) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (/ (+ (/ (* x (pow (sin y) 2)) (cos y)) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (* x (sin y)) (* z (cos y)))) 1) |
(fma.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) #s(literal -1 binary64)) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (/ (sin y) (* z (cos y))))) 1) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)))) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 2))))) (/ (sin y) (* z (cos y))))) 1) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) x (/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (cos.f64 y))) x #s(literal -1 binary64)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(fma.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x (*.f64 (cos.f64 y) z)) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) x (sin.f64 y)) x (*.f64 (cos.f64 y) z)) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (sin.f64 y)) x (*.f64 (cos.f64 y) z)) |
(* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (cos.f64 y))) |
(* x (+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z z)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)))) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)))) x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (cos.f64 y)))) x) |
(* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) x (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (cos.f64 y)))) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y z) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x z)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 y z) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(* -1/2 z) |
(*.f64 #s(literal -1/2 binary64) z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 (cos.f64 y) z) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) x) |
(* x (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(/ (* z (cos y)) (* x (sin y))) |
(*.f64 (/.f64 z (sin.f64 y)) (/.f64 (cos.f64 y) x)) |
(/ (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))) x) |
(/ (- (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))) x) |
(/ (- (+ (/ (* z (cos y)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z z) x) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x)))))) x) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z z) x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (neg.f64 x)) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x)) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x))))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))) x) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) |
(- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) |
(fma.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (cos.f64 y) x)) z (sin.f64 y)) |
(- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sin.f64 y)) (neg.f64 (*.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (cos.f64 y) x)) z))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
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(* x (+ 1 (* -1/6 (pow y 2)))) |
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(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 z y))) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(* z (+ (/ (cos y) (* x (sin y))) (/ (* z (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))))) |
(*.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 y) x) (sin.f64 y))) z) |
(* z (+ (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (pow (sin y) 2)))))) (/ (cos y) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (cos.f64 y) x) (sin.f64 y))) z) |
(* z (+ (* z (- (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 3) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (pow (sin y) 2)))))) (/ (cos y) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (cos.f64 y) x) (sin.f64 y))) z) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (sin y) (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 2) (sin y))) (* -1 (/ (cos y) x))))) |
(fma.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (cos.f64 y) x)) z (sin.f64 y)) |
(+ (sin y) (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 2) (sin y)))))) (* -1 (/ (cos y) x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) x) x))) z (/.f64 (cos.f64 y) x)) z (sin.f64 y)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y z) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x z)) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))) (+ 1 (/ (* x (sin y)) (* z (cos y))))) |
(neg.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))) |
(- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 3)))) (+ 1 (+ (/ (* x (sin y)) (* z (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))))) |
(neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (sin.f64 y) z) #s(literal 1 binary64))))) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) z) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (*.f64 (/.f64 x z) (/.f64 x z)) (cos.f64 y)))) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) z) z)) (fma.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) z) |
(/ (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (neg.f64 z)) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z) |
(/ (- (+ (* -1 (/ (* x (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 4) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 3) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 z z)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(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) x) z)) z z) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (/.f64 (*.f64 (*.f64 x y) y) z) #s(literal -1/6 binary64) (/.f64 x z))) z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(*.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/6 binary64)) y #s(literal -1/2 binary64)) z) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z) |
(- (* -1 (/ (+ (/ (* x (sin y)) (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 2)))) z)) 1) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 (sin.f64 y) x) (cos.f64 y))) z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 2))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 3))))) z)) (/ (* x (sin y)) (cos y))) z)) 1) |
(fma.f64 (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 z))) z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (sin.f64 y)) x) (neg.f64 z)) (cos.f64 y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (cos.f64 y)))) (neg.f64 z))) (neg.f64 z)) (cos.f64 y)) (neg.f64 z)) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (cos.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (/ (* x (pow (sin y) 2)) (cos y)) (/ (* (pow x 2) (pow (sin y) 3)) (* z (pow (cos y) 2)))) z)) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(/.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 3) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* (pow x 2) (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (* x (pow (sin y) 2)) (cos y))) z)) |
(/.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) z) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (neg.f64 z) z) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(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) x) (neg.f64 z))) (neg.f64 z) z) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 (cos.f64 y) x)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 259 |
| 0 | 89 | 257 |
| 1 | 334 | 206 |
| 2 | 2059 | 206 |
| 0 | 8580 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(sin.f64 y) |
(/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 z (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 y)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 y) z) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cos.f64 y) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 z (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cos.f64 y) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 y) z) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) z) (cos.f64 y)) |
(*.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) z) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (*.f64 (cos.f64 y) z))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) z)) |
(*.f64 (*.f64 (cos.f64 y) z) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (cos.f64 y) (*.f64 z (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 z (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (*.f64 (cos.f64 y) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) z) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (*.f64 (cos.f64 y) z)) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) z)) |
(*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) z) (*.f64 (neg.f64 z) (cos.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) z))) |
(*.f64 (*.f64 (cos.f64 y) z) (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (cos.f64 y) (*.f64 (neg.f64 z) (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) z))) |
(*.f64 (cos.f64 y) (*.f64 z (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(*.f64 z (*.f64 (cos.f64 y) (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(*.f64 z (neg.f64 (*.f64 (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (*.f64 (cos.f64 y) z)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (-.f64 (*.f64 (neg.f64 z) (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) (cos.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))) #s(literal 1 binary64))) |
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(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cos.f64 y))) (sin.f64 y)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 (cos.f64 y) z) x)) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) #s(literal 1 binary64)) z (sin.f64 y)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cos.f64 y))) (sin.f64 y)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 y) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (sin.f64 y)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (/.f64 (*.f64 (cos.f64 y) z) x)) |
(fma.f64 (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (sin.f64 y)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cos.f64 y))) (sin.f64 y)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (sin.f64 y)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) z (sin.f64 y)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (cos.f64 y) z)) (sin.f64 y)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 y) z) (sin.f64 y)) |
(fma.f64 (*.f64 (cos.f64 y) z) (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) |
(fma.f64 (cos.f64 y) (*.f64 z (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) |
(fma.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x))) (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(+.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) |
(+.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) |
(*.f64 (+.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) x) |
(*.f64 x (+.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x)) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) z) x)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) z) x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x)) |
(fma.f64 (sin.f64 y) x (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x))) |
(fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) x) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x)) |
(fma.f64 x (sin.f64 y) (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (/.f64 (*.f64 (cos.f64 y) z) x) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 x (/.f64 (*.f64 (cos.f64 y) z) x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (+.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) x)) |
(*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) |
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) x)) |
(*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) (sin.f64 y)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 y))) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y 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 y y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 y y)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (log.f64 (sin.f64 y)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))) |
Compiled 37 647 to 3 064 computations (91.9% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 747 | 16 | 763 |
| Fresh | 8 | 20 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 758 | 43 | 801 |
| Status | Accuracy | Program |
|---|---|---|
| 49.0% | (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (sin.f64 y) x)) | |
| 82.4% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 80.3% | (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 39.0% | (fma.f64 (exp.f64 (log.f64 (sin.f64 y))) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 99.8% | (fma.f64 z (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) | |
| 36.3% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 75.8% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 51.4% | (fma.f64 x #s(approx (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (*.f64 (/.f64 x (neg.f64 z)) y) y)) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) | |
| 34.2% | (/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) | |
| 58.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 52.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 52.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| 53.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) | |
| 53.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) | |
| 22.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) | |
| 38.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) | |
| 38.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) | |
| 38.7% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) | |
| 16.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) | |
| 88.5% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y))))) | |
| 88.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) (sin.f64 y)) x)) | |
| 86.8% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) | |
| ✓ | 88.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
| 88.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (*.f64 z (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) x)) | |
| 88.6% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) x)) | |
| 69.3% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))) x)) | |
| 46.2% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) | |
| 41.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) | |
| 91.0% | #s(approx (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (cos.f64 y)) (neg.f64 z))) | |
| ✓ | 53.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 33.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| 13.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) | |
| 39.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) | |
| 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) | |
| 40.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) | |
| ✓ | 58.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| ✓ | 40.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 47.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) | |
| ✓ | 16.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| 38.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 3 210 to 1 189 computations (63% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) |
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y))))) |
#s(approx (+ (* x (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (-.f64 (/.f64 (fma.f64 (sin.f64 y) x (/.f64 #s(literal 0 binary64) z)) (neg.f64 z)) (cos.f64 y)) (neg.f64 z))) |
(fma.f64 (exp.f64 (log.f64 (sin.f64 y))) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (*.f64 z (pow.f64 x #s(literal -1 binary64))) (sin.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) (sin.f64 y)) x)) |
(fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y))) |
(fma.f64 (exp.f64 (log.f64 (sin.f64 y))) x (*.f64 (cos.f64 y) z)) |
(fma.f64 z (pow.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) x)) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(approx (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) |
(*.f64 (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(fma.f64 x #s(approx (/ (* (pow (sin y) 2) x) (+ (* (neg z) (cos y)) (* (sin y) x))) (*.f64 (*.f64 (/.f64 x (neg.f64 z)) y) y)) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (cos.f64 y)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))) x)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 z (cos.f64 y)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 19.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 19.0ms | x |
| 18.0ms | z |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) |
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 12.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | z |
| 10.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 3 | x |
| 84.3% | 3 | y |
| 89.3% | 3 | z |
| 80.3% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) |
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
1 calls:
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) |
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) |
| Outputs |
|---|
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) |
4 calls:
| 9.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | x |
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 4 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 81.4% | 4 | y |
| 74.7% | 3 | x |
| 75.6% | 4 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) |
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 8.0ms | x |
| 8.0ms | z |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 3 | z |
| 68.4% | 3 | x |
| 73.1% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 y (/.f64 x z) #s(literal 1 binary64)) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) y (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (pow x -1) (/ (cos y) (pow z -1))) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 z x) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 z x))) y #s(literal 1 binary64)) y (/.f64 z x))) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (neg.f64 x) y)) (neg.f64 y))) (*.f64 y y))) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (*.f64 y y) x))) x)))) |
#s(approx (/ (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (+ (* (neg z) (cos y)) (* (sin y) x))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (*.f64 (neg.f64 x) x) z))) y x) y z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 8.0ms | x |
| 8.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8.0ms | z |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 53.7% | 1 | z |
| 53.7% | 1 | x |
| 53.7% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 44.7% | 3 | x |
| 40.7% | 1 | y |
| 40.7% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.1% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.1% | 1 | y |
| 16.1% | 1 | z |
| 16.1% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 3.747227488069201e+81 | 2.6292633323548896e+130 |
| 17.0ms | -1.274569643664591e+19 | -17298160308255.43 |
| 27.0ms | 336× | 0 | valid |
Compiled 537 to 497 computations (7.4% saved)
ival-sin: 8.0ms (41.5% of total)ival-cos: 6.0ms (31.1% of total)ival-mult: 4.0ms (20.7% of total)ival-add: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.747227488069201e+81 | 2.6292633323548896e+130 |
| 1.0ms | -1.274569643664591e+19 | -17298160308255.43 |
Compiled 516 to 476 computations (7.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.5932971920982634e-15 | 1.4507884401760887e-11 |
| 17.0ms | -2069971.5725616456 | -0.8238265327399078 |
| 11.0ms | -2.005765916370994e+171 | -7.798426083789536e+170 |
| 27.0ms | 352× | 0 | valid |
Compiled 1 183 to 883 computations (25.4% saved)
ival-sin: 7.0ms (36.8% of total)ival-cos: 6.0ms (31.6% of total)ival-mult: 4.0ms (21% of total)ival-add: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 462903876818724.3 | 8.594245419780214e+24 |
| 1.0ms | -2069971.5725616456 | -0.8238265327399078 |
| 16.0ms | 160× | 0 | valid |
Compiled 1 019 to 793 computations (22.2% saved)
ival-sin: 5.0ms (40.3% of total)ival-cos: 4.0ms (32.3% of total)ival-mult: 2.0ms (16.1% of total)ival-add: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.5469548843031032e+215 | 2.3754168595445876e+219 |
| 17.0ms | -1.884789883493019e+186 | -8.432709063590518e+180 |
| 22.0ms | 272× | 0 | valid |
Compiled 607 to 473 computations (22.1% saved)
ival-sin: 6.0ms (38.2% of total)ival-cos: 5.0ms (31.8% of total)ival-mult: 3.0ms (19.1% of total)ival-add: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 384 |
| 1 | 93 | 384 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(if (<=.f64 z #s(literal -7800000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 77999999999999995123734131884617294245985585630661528267921006288188338629263753216 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -7800000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 77999999999999995123734131884617294245985585630661528267921006288188338629263753216 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8975065284819007/618970019642690137449562112 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 470000000000000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal -19499999999999998545822882340665867208953741634688122758580884603066924922980677576930577729351043124917265922392321744707083431681482843163854751829499604525582432270213663683568992256 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 260000000000000002507800139930069911955808533277662063659549500650329626780781176910068838682409233455361512117214661291270158546303734575878456763737803203449938121732048555091472125705795369850505774062747917484032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(if (<=.f64 z #s(literal -7800000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 77999999999999995123734131884617294245985585630661528267921006288188338629263753216 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -7800000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 77999999999999995123734131884617294245985585630661528267921006288188338629263753216 binary64)) (+.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 z #s(literal -7800000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 77999999999999995123734131884617294245985585630661528267921006288188338629263753216 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -7800000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 77999999999999995123734131884617294245985585630661528267921006288188338629263753216 binary64)) (fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 8975065284819007/618970019642690137449562112 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x))))) |
(if (<=.f64 y #s(literal -1349999999999999905683740053174541746861873417853755252321023127393248356398129382899023272726811912380031786897004218608216217278218228200769562927815069903704801373323264 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x)) (if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 8975065284819007/618970019642690137449562112 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 #s(approx (+ (* (cos y) (/ z x)) (sin y)) (sin.f64 y)) x))))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 470000000000000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -7566047373982433/9007199254740992 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 470000000000000 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal -19499999999999998545822882340665867208953741634688122758580884603066924922980677576930577729351043124917265922392321744707083431681482843163854751829499604525582432270213663683568992256 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) (if (<=.f64 x #s(literal 260000000000000002507800139930069911955808533277662063659549500650329626780781176910068838682409233455361512117214661291270158546303734575878456763737803203449938121732048555091472125705795369850505774062747917484032 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 3522 |
| 1 | 2430 | 3327 |
| 0 | 8258 | 3144 |
| 0 | 109 | 288 |
| 1 | 344 | 284 |
| 2 | 981 | 274 |
| 3 | 2645 | 268 |
| 4 | 4662 | 268 |
| 5 | 6960 | 268 |
| 0 | 8192 | 233 |
| 0 | 686 | 3260 |
| 1 | 2210 | 3147 |
| 2 | 7219 | 3096 |
| 0 | 8119 | 2981 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 768 | 3666 |
| 1 | 2667 | 3472 |
| 0 | 8381 | 3261 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 601 to 246 computations (59.1% saved)
Compiled 786 to 182 computations (76.8% saved)
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