
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 2.0s | 8 256× | 0 | valid |
ival-mult: 479.0ms (46.2% of total)ival-sin: 248.0ms (23.9% of total)ival-cos: 230.0ms (22.2% of total)ival-add: 70.0ms (6.8% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 78.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 29.0ms (59.1% of total)ival-cos: 10.0ms (20.4% of total)ival-mult: 7.0ms (14.3% of total)ival-add: 2.0ms (4.1% 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 | 143 | 81 |
| 3 | 311 | 81 |
| 4 | 478 | 81 |
| 5 | 734 | 81 |
| 6 | 911 | 81 |
| 7 | 1006 | 81 |
| 8 | 1102 | 81 |
| 9 | 1172 | 81 |
| 10 | 1199 | 81 |
| 11 | 1205 | 81 |
| 12 | 1207 | 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 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.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 (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.012976281620653759 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.140625 | (*.f64 z (sin.f64 y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 9.0ms (45.8% of total)ival-sin: 5.0ms (25.4% of total)ival-mult: 4.0ms (20.3% of total)ival-add: 1.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 240 |
| 1 | 295 | 236 |
| 2 | 899 | 230 |
| 3 | 2097 | 224 |
| 4 | 3852 | 224 |
| 5 | 6548 | 224 |
| 0 | 8035 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (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)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (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)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(cos y) |
(cos.f64 y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1854 | 19 |
| 0 | 8227 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))) |
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(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(cos.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
Compiled 7 548 to 557 computations (92.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 14 | 193 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 180 | 14 | 194 |
| Status | Accuracy | Program |
|---|---|---|
| 80.4% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 58.3% | (fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| 57.9% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| ▶ | 57.9% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
| 58.4% | (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 62.3% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 75.1% | (+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 58.3% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) | |
| 49.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| 49.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) | |
| ▶ | 50.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 41.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
Compiled 596 to 370 computations (37.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 19 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 z y x) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 211 |
| 0 | 47 | 186 |
| 1 | 68 | 186 |
| 2 | 115 | 186 |
| 3 | 263 | 186 |
| 4 | 731 | 186 |
| 5 | 2696 | 186 |
| 6 | 5962 | 186 |
| 0 | 8109 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
z |
y |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.236660009768442 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 0.46569498803807513 | (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) | |
| accuracy | 1.5039021216604118 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 26.21614203733114 | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.1171875 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.14453125 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 37.17090866298301 | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.0 | (fma.f64 z y x) | |
| accuracy | 31.536745571084637 | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.05078125 | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.1171875 | (*.f64 (cos.f64 y) x) |
| 143.0ms | 256× | 0 | valid |
Compiled 211 to 29 computations (86.3% saved)
ival-pow: 10.0ms (21.6% of total)ival-mult: 9.0ms (19.4% of total)ival-sin: 7.0ms (15.1% of total)ival-cos: 5.0ms (10.8% of total)ival-add: 4.0ms (8.6% of total)ival-pow2: 4.0ms (8.6% of total)ival-div: 3.0ms (6.5% of total)ival-sub: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% 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) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(/ -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 6) (pow (sin y) 6)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 6)) (* (pow z 8) (pow (sin y) 8)))) (/ (pow (cos y) 4) (* (pow z 6) (pow (sin y) 6))))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
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)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(/ 1 (pow x 2)) |
(+ (* (pow y 2) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4)))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (+ (* -1/3 (/ (pow z 2) (pow x 4))) (* (pow y 2) (- (+ (* 2/45 (/ 1 (pow x 2))) (* 2/45 (/ (pow z 2) (pow x 4)))) (+ (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2)))) (pow x 2)) (/ (* (- (* -1 (pow x 2)) (pow z 2)) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(sin y) |
(cos y) |
(* y (+ z (/ x y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* -1 z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2)) |
| 7.0ms | y | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2)) |
| 5.0ms | x | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2)) |
| 5.0ms | z | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2)) |
| 4.0ms | z | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (pow (* (sin y) z) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 3303 |
| 1 | 2038 | 3197 |
| 2 | 7149 | 3156 |
| 0 | 8147 | 3011 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* y z) |
(+ x (* y z)) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(/ -1 (* (pow z 2) (pow (sin y) 2))) |
(- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 6) (pow (sin y) 6)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 6)) (* (pow z 8) (pow (sin y) 8)))) (/ (pow (cos y) 4) (* (pow z 6) (pow (sin y) 6))))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
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)))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z)))) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(pow x 2) |
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2)) |
(/ 1 (pow x 2)) |
(+ (* (pow y 2) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4)))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* (pow y 2) (+ (* (pow y 2) (- (+ (* -1/3 (/ (pow z 2) (pow x 4))) (* (pow y 2) (- (+ (* 2/45 (/ 1 (pow x 2))) (* 2/45 (/ (pow z 2) (pow x 4)))) (+ (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2)))) (pow x 2)) (/ (* (- (* -1 (pow x 2)) (pow z 2)) (- (* -1/3 (/ (pow z 2) (pow x 4))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ (* (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))))) (+ (/ 1 (pow x 2)) (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(sin y) |
(cos y) |
(* y (+ z (/ x y))) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/ (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* -1 z) |
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2))) |
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4)))) |
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2)))) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(* z (+ y (/ x z))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* y z) |
(*.f64 z y) |
(+ x (* y z)) |
(fma.f64 z y x) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z))) z) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (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))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/ -1 (* z (sin y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (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)))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(- (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(/ -1 (* (pow z 2) (pow (sin y) 2))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 4) (pow (sin y) 4)))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) z))) |
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 4)) (* (pow z 6) (pow (sin y) 6)))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (cos y) 6)) (* (pow z 8) (pow (sin y) 8)))) (/ (pow (cos y) 4) (* (pow z 6) (pow (sin y) 6))))) (/ (pow (cos y) 2) (* (pow z 4) (pow (sin y) 4))))) (/ 1 (* (pow z 2) (pow (sin y) 2)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (pow.f64 z #s(literal 8 binary64))) (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 x x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (/.f64 (*.f64 z y) x) x x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x)))) (*.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) x) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) (neg.f64 x))) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* (pow x 2) (pow (cos y) 2)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x))) (*.f64 x x)) |
(/ 1 (* (pow x 2) (pow (cos y) 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) |
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 x x)) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) x))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (neg.f64 (cos.f64 y)))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) 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) |
(+ x (* -1/2 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) x x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (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)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z)) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (*.f64 z z)) |
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (*.f64 z z)) |
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (*.f64 z z)) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.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)) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z)) z)) (neg.f64 z)) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 z))) z)) (neg.f64 z)) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 157 |
| 0 | 47 | 132 |
| 1 | 183 | 132 |
| 2 | 1095 | 132 |
| 0 | 9056 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(fma.f64 z y x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))) |
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(cos.f64 y) |
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#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
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(fma.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64)))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (sin.f64 y) #s(literal -1 binary64))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 (sin.f64 y))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) z) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y)) |
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (neg.f64 z)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) z)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(*.f64 (*.f64 z z) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) |
(*.f64 (*.f64 z z) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 z (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #s(literal 1 binary64))) |
(*.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) |
(*.f64 (sin.f64 y) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (*.f64 (*.f64 z (sin.f64 y)) z)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 z (sin.f64 y)))) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) #s(literal 0 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
Compiled 51 642 to 4 209 computations (91.8% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 319 | 23 | 1 342 |
| Fresh | 8 | 1 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 329 | 27 | 1 356 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 52.7% | (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 35.4% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 34.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) | |
| 59.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) | |
| ▶ | 38.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
| ▶ | 41.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| 59.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 35.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 62.3% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 58.3% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) | |
| 51.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| ▶ | 49.4% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
| 49.6% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) | |
| 87.9% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| 88.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| ✓ | 50.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| 22.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| 50.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 41.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 44.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| ▶ | 18.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 17.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 17.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
Compiled 1 112 to 798 computations (28.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| cost-diff | 1 | (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 321 |
| 0 | 75 | 311 |
| 1 | 112 | 311 |
| 2 | 168 | 311 |
| 3 | 310 | 311 |
| 4 | 686 | 311 |
| 5 | 1637 | 311 |
| 6 | 2756 | 311 |
| 7 | 4446 | 311 |
| 8 | 5356 | 311 |
| 9 | 5975 | 311 |
| 10 | 6817 | 311 |
| 11 | 7242 | 311 |
| 12 | 7390 | 311 |
| 13 | 7914 | 311 |
| 0 | 8011 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 x (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) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 z) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
z |
(sin.f64 y) |
y |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
#s(approx (+ (* z y) x) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/6 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x (sin.f64 y)) z) (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x (sin.f64 y)) z) (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x (sin.f64 y)) z) (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x (sin.f64 y)) z) (cos.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 x (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) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 z) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8257735834613849 | (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) | |
| accuracy | 2.7407451031314762 | (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) | |
| accuracy | 2.917094945233432 | (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) | |
| accuracy | 37.66515483350221 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) | |
| accuracy | 37.27033383499295 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 32.37083803466312 | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 28.846184655261755 | #s(approx (+ (* z y) x) (*.f64 z y)) | |
| accuracy | 31.536745571084637 | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) | |
| accuracy | 0.05078125 | (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) | |
| accuracy | 0.1171875 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.14453125 | (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) | |
| accuracy | 0.24609375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 98.0ms | 256× | 0 | valid |
Compiled 253 to 41 computations (83.8% saved)
ival-div: 21.0ms (26.9% of total)ival-mult: 20.0ms (25.6% of total)ival-add: 9.0ms (11.5% of total)ival-pow2: 8.0ms (10.3% of total)ival-sin: 6.0ms (7.7% of total)ival-cos: 5.0ms (6.4% of total)const: 4.0ms (5.1% of total)ival-pow: 4.0ms (5.1% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(/ -1 (sin y)) |
(- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) |
(* x (cos y)) |
(/ x (pow (sin y) 2)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) |
(* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y)))))) |
(/ (* x (cos y)) (* z (pow (sin y) 2))) |
(* x (- (/ (cos y) (* z (pow (sin y) 2))) (/ 1 (* x (sin y))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1 (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* x (* z (sin y))))))) |
(* -1 (* x (+ (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y)))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 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 |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1 (/ x (* (pow y 2) (pow z 2)))) |
(/ (+ (* -1 (/ x (pow z 2))) (/ y z)) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* 1/6 (/ y z)))) (/ 1 z)))) (pow y 2)) |
(/ x (* (pow y 2) z)) |
(/ (+ (* -1 y) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (+ (* -1/2 (/ x z)) (* -1/6 y)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(/ x (pow y 2)) |
(/ (+ x (* 1/3 (* x (pow y 2)))) (pow y 2)) |
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/9 x) (* 2/45 x)))) (* -1/3 x)))) (pow y 2)) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/315 x) (+ (* 2/135 x) (* 1/3 (+ (* -1/9 x) (* 2/45 x))))))) (+ (* -1/9 x) (* 2/45 x)))) (* -1/3 x)))) (pow y 2)) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(sin y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) (pow z 2)) |
(/ (+ (* -1 (/ z (sin y))) (/ (* x (cos y)) (pow (sin y) 2))) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (* x (cos y)) (/ x (pow (sin y) 2))) |
| 9.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (* x (cos y)) (/ x (pow (sin y) 2))) |
| 5.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (* x (cos y)) (/ x (pow (sin y) 2))) |
| 4.0ms | x | @ | inf | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (* x (cos y)) (/ x (pow (sin y) 2))) |
| 4.0ms | x | @ | 0 | ((/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/ 1 (+ (* z (sin y)) (* x (cos y)))) (+ (* z (sin y)) (* x (cos y))) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (* (sin y) z) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (* x (cos y)) (/ x (pow (sin y) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 539 | 2162 |
| 1 | 1749 | 2068 |
| 2 | 6098 | 2037 |
| 0 | 8420 | 1918 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(* y z) |
(+ x (* y z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(+ z (* -1/6 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(* -1/6 (* y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(/ -1 (sin y)) |
(- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) |
(* x (cos y)) |
(/ x (pow (sin y) 2)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(* -1/2 (* x y)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* -1/2 x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) |
(* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y)))))) |
(/ (* x (cos y)) (* z (pow (sin y) 2))) |
(* x (- (/ (cos y) (* z (pow (sin y) 2))) (/ 1 (* x (sin y))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(* -1 (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* x (* z (sin y))))))) |
(* -1 (* x (+ (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y)))))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 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 |
(+ z (* -1/2 (* x y))) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1 (/ x (* (pow y 2) (pow z 2)))) |
(/ (+ (* -1 (/ x (pow z 2))) (/ y z)) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* 1/6 (/ y z)))) (/ 1 z)))) (pow y 2)) |
(/ x (* (pow y 2) z)) |
(/ (+ (* -1 y) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (+ (* -1/2 (/ x z)) (* -1/6 y)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(/ x (pow y 2)) |
(/ (+ x (* 1/3 (* x (pow y 2)))) (pow y 2)) |
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/9 x) (* 2/45 x)))) (* -1/3 x)))) (pow y 2)) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/315 x) (+ (* 2/135 x) (* 1/3 (+ (* -1/9 x) (* 2/45 x))))))) (+ (* -1/9 x) (* 2/45 x)))) (* -1/3 x)))) (pow y 2)) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(sin y) |
(* y (+ z (/ x y))) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/6 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) (pow z 2)) |
(/ (+ (* -1 (/ z (sin y))) (/ (* x (cos y)) (pow (sin y) 2))) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* z (+ y (/ x z))) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (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))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(* y z) |
(*.f64 y z) |
(+ x (* y z)) |
(fma.f64 y z x) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x) |
(+ z (* -1/6 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) |
(* -1/6 (* y z)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y z)) |
(+ (* -1/2 x) (* -1/6 (* y z))) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) |
(fma.f64 (/.f64 (cos.f64 y) z) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(/ x (pow (sin y) 2)) |
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 (/.f64 (*.f64 y z) x) x x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x)) x x) |
(* -1/2 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (*.f64 y (/.f64 (*.f64 y z) x)) #s(literal -1/6 binary64) (/.f64 z x))) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* -1/6 (/ (* y z) x)) 1/2)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x) |
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) |
(*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) |
(* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y)))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (* x (cos y)) (* z (pow (sin y) 2))) |
(*.f64 (/.f64 (cos.f64 y) z) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* x (- (/ (cos y) (* z (pow (sin y) 2))) (/ 1 (* x (sin y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (* x (- (* -1 (/ (* y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) (neg.f64 x)))) |
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* x (* z (sin y))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) x))) |
(* -1 (* x (+ (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y)))))) |
(fma.f64 (/.f64 (cos.f64 y) z) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 z x) x) #s(literal 1/3 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x)) (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) 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 |
(+ z (* -1/2 (* x y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) |
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 31/15120 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 7/360 binary64) z)) (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z))) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y z)) |
(* -1 (/ x (* (pow y 2) (pow z 2)))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 y y) z) z)) |
(/ (+ (* -1 (/ x (pow z 2))) (/ y z)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 y z) (/.f64 x (*.f64 z z))) (*.f64 y y)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 z z)) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y (/.f64 (neg.f64 x) (*.f64 z z))) (*.f64 y y)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* 1/6 (/ y z)))) (/ 1 z)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) (*.f64 (/.f64 x (*.f64 z z)) #s(literal 1/6 binary64))) y (/.f64 #s(literal 1 binary64) z)) y (/.f64 (neg.f64 x) (*.f64 z z))) (*.f64 y y)) |
(/ x (* (pow y 2) z)) |
(/.f64 x (*.f64 (*.f64 y y) z)) |
(/ (+ (* -1 y) (/ x z)) (pow y 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y) |
(/ (+ (* y (- (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/6 binary64)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y) |
(/ (+ (* y (- (* y (- (+ (* -1/2 (/ x z)) (* -1/6 y)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x y) y) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* 1/3 (* x (pow y 2)))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x y) y) x) y) y) |
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/9 x) (* 2/45 x)))) (* -1/3 x)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/15 binary64)) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 y y) x) (*.f64 y y)) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/315 x) (+ (* 2/135 x) (* 1/3 (+ (* -1/9 x) (* 2/45 x))))))) (+ (* -1/9 x) (* 2/45 x)))) (* -1/3 x)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 x #s(literal 11/945 binary64) (*.f64 x #s(literal -1/45 binary64))) (*.f64 #s(literal 1/15 binary64) x)) (*.f64 y y) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 y y) x) (*.f64 y y)) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(sin y) |
(sin.f64 y) |
(* y (+ z (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y) |
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y)))) y) y) |
(* y (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 y) z) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) z) y) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)) (neg.f64 y))) y) y) |
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z)) (neg.f64 y)) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #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 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x) |
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) |
(/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (+ (* -1 (/ z (sin y))) (/ (* x (cos y)) (pow (sin y) 2))) z) |
(/.f64 (fma.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (sin.f64 y))) z) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (fma.f64 (neg.f64 (pow.f64 (/.f64 x z) #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)))) z) |
(* z (+ y (/ x z))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1/2 binary64) (+.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))) z) |
(* z (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z) |
(* z (+ (* -1/2 (/ x z)) (* -1/6 y))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 (cos.f64 y)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.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))) (neg.f64 z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(*.f64 (+.f64 (/.f64 x z) y) z) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 z) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (* z (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 z)) |
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 z)) |
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z))))) |
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 273 |
| 0 | 75 | 263 |
| 1 | 285 | 263 |
| 2 | 1939 | 263 |
| 0 | 8353 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* z y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z))) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal -6 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) x) (sin.f64 y)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 y)) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (cos.f64 y)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (cos.f64 y)) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (*.f64 (sin.f64 y) z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) z) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x z) (/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x z) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y)) (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 (cos.f64 y) z) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (/.f64 (cos.f64 y) (/.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)))) |
(fma.f64 (*.f64 (cos.f64 y) x) (pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (cos.f64 y) (/.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (cos.f64 y) (pow.f64 (*.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 x (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 x (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 x (*.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 (cos.f64 y) z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) (sin.f64 y))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal -4 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))) (sin.f64 y)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal -4 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64)) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64)) (sin.f64 y)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (pow.f64 (sin.f64 y) #s(literal -2 binary64)))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(*.f64 (/.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (sin.f64 y))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (neg.f64 (sin.f64 y)))) |
(*.f64 x (pow.f64 (sin.f64 y) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 x (sin.f64 y))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 x (sin.f64 y)) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))) |
(/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) |
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
Compiled 25 689 to 3 035 computations (88.2% saved)
36 alts after pruning (30 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 705 | 17 | 722 |
| Fresh | 6 | 13 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 713 | 36 | 749 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 75.1% | (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| 52.7% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 22.0% | (pow.f64 (pow.f64 #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 35.4% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) | |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 59.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z)))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y))))) | |
| 17.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) | |
| ▶ | 18.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
| ✓ | 41.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| 59.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 35.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 18.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) | |
| ▶ | 18.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
| 34.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) | |
| 62.3% | (+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 51.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| 87.9% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| ▶ | 88.8% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
| 44.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) | |
| 49.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) | |
| 49.4% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) | |
| 49.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) | |
| 33.5% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 33.4% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
| ✓ | 50.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ▶ | 22.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
| 50.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 41.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 44.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) | |
| ✓ | 18.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 17.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| 17.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
Compiled 1 713 to 1 209 computations (29.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| cost-diff | 3 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) | |
| cost-diff | 0 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 416 |
| 0 | 91 | 409 |
| 1 | 148 | 406 |
| 2 | 240 | 406 |
| 3 | 440 | 406 |
| 4 | 895 | 404 |
| 5 | 1779 | 404 |
| 6 | 3055 | 404 |
| 7 | 4092 | 404 |
| 8 | 5936 | 404 |
| 0 | 8170 | 385 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)) |
#s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) |
(/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y) |
(/.f64 (-.f64 (/.f64 x z) y) y) |
(-.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(neg.f64 z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
x |
(sin.f64 y) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)) |
#s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) |
(/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y) |
(/.f64 (-.f64 (/.f64 x z) y) y) |
(-.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(neg.f64 z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.26009750976844204 | (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) | |
| accuracy | 3.112412356766766 | (sqrt.f64 (*.f64 z (sin.f64 y))) | |
| accuracy | 19.20164072242044 | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) | |
| accuracy | 1.033077444260609 | (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)) | |
| accuracy | 1.2189036088301446 | (/.f64 (-.f64 (/.f64 x z) y) y) | |
| accuracy | 16.284737209033555 | #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) | |
| accuracy | 19.38384140105475 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z))) | |
| accuracy | 0.1171875 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) | |
| accuracy | 0.2996547242303826 | (/.f64 #s(literal 1 binary64) (*.f64 y z)) | |
| accuracy | 16.364019259786094 | #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) | |
| accuracy | 19.273396225057002 | #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 3.506744636829464 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| accuracy | 14.93318711340345 | #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) | |
| accuracy | 16.41261852420273 | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) | |
| accuracy | 0.0 | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) | |
| accuracy | 0.05859375 | (/.f64 (cos.f64 y) z) | |
| accuracy | 4.050635489822669 | (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
| 65.0ms | 123× | 0 | invalid |
| 55.0ms | 133× | 0 | valid |
Compiled 255 to 55 computations (78.4% saved)
ival-mult: 25.0ms (28.9% of total)ival-div: 18.0ms (20.8% of total)ival-add: 10.0ms (11.6% of total)ival-sin: 7.0ms (8.1% of total)ival-cos: 7.0ms (8.1% of total)ival-pow2: 6.0ms (6.9% of total)const: 4.0ms (4.6% of total)ival-pow: 4.0ms (4.6% of total)ival-sqrt: 3.0ms (3.5% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)) |
#s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 y y) |
(/.f64 (-.f64 (/.f64 x z) y) y) |
| Outputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ -1 (sin y)) |
(- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) |
-1 |
(- (/ x (* y z)) 1) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) |
(* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y)))))) |
(/ (* x (cos y)) (* z (pow (sin y) 2))) |
(* x (- (/ (cos y) (* z (pow (sin y) 2))) (/ 1 (* x (sin y))))) |
(/ x (* y z)) |
(* x (- (/ 1 (* y z)) (/ 1 x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* x (* z (sin y))))))) |
(* -1 (* x (+ (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y)))))) |
(* -1 (* x (- (/ 1 x) (/ 1 (* y z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ x (* -1/2 (* x (pow y 2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* -1 (/ x (* (pow y 2) (pow z 2)))) |
(/ (+ (* -1 (/ x (pow z 2))) (/ y z)) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* 1/6 (/ y z)))) (/ 1 z)))) (pow y 2)) |
(/ x (* (pow y 2) z)) |
(/ (+ (* -1 y) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (+ (* -1/2 (/ x z)) (* -1/6 y)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(* y z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(pow y 2) |
(/ (+ (* -1 y) (/ x z)) y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(sqrt (* z (sin y))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) (pow z 2)) |
(/ (+ (* -1 (/ z (sin y))) (/ (* x (cos y)) (pow (sin y) 2))) z) |
(/ (+ (* -1 z) (/ x y)) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (/ 1 (* y z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (* y y) (/ (- (/ x z) y) y)) |
| 6.0ms | y | @ | inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (/ 1 (* y z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (* y y) (/ (- (/ x z) y) y)) |
| 6.0ms | z | @ | -inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (/ 1 (* y z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (* y y) (/ (- (/ x z) y) y)) |
| 4.0ms | z | @ | 0 | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (/ 1 (* y z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (* y y) (/ (- (/ x z) y) y)) |
| 4.0ms | x | @ | -inf | ((* (+ (* (/ (cos y) z) x) (sin y)) z) (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (* (+ (* -1/2 (* y y)) 1) x) (+ (* -1/2 (* y y)) 1) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ 1 (* (sin y) z)) (/ 1 (* y z)) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/ (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (neg z)) (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (* y y) (/ (- (/ x z) y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 1967 |
| 1 | 1553 | 1893 |
| 2 | 5389 | 1839 |
| 0 | 8180 | 1735 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (sin y)) |
(+ (* x (cos y)) (* z (sin y))) |
(sin y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(/ 1 (* z (sin y))) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(/ -1 (sin y)) |
(- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) |
-1 |
(- (/ x (* y z)) 1) |
(* x (cos y)) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(/ (* x (cos y)) z) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) |
(* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y)))))) |
(/ (* x (cos y)) (* z (pow (sin y) 2))) |
(* x (- (/ (cos y) (* z (pow (sin y) 2))) (/ 1 (* x (sin y))))) |
(/ x (* y z)) |
(* x (- (/ 1 (* y z)) (/ 1 x))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* x (* z (sin y))))))) |
(* -1 (* x (+ (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y)))))) |
(* -1 (* x (- (/ 1 x) (/ 1 (* y z))))) |
x |
(+ x (* y z)) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(/ x z) |
(+ y (/ x z)) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ x (* -1/2 (* x (pow y 2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(/ 1 x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* -1 (/ x (* (pow y 2) (pow z 2)))) |
(/ (+ (* -1 (/ x (pow z 2))) (/ y z)) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* 1/6 (/ y z)))) (/ 1 z)))) (pow y 2)) |
(/ x (* (pow y 2) z)) |
(/ (+ (* -1 y) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/ (+ (* y (- (* y (- (+ (* -1/2 (/ x z)) (* -1/6 y)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(* y z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(pow y 2) |
(/ (+ (* -1 y) (/ x z)) y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(/ (cos y) z) |
(* -1/6 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(* -1/2 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(sqrt (* z (sin y))) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) (pow z 2)) |
(/ (+ (* -1 (/ z (sin y))) (/ (* x (cos y)) (pow (sin y) 2))) z) |
(/ (+ (* -1 z) (/ x y)) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ (* x (cos y)) (* z (sin y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* x (cos y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(* x (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (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))))) x (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
-1 |
#s(literal -1 binary64) |
(- (/ x (* y z)) 1) |
(-.f64 (/.f64 x (*.f64 z y)) #s(literal 1 binary64)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(/ (* x (cos y)) z) |
(*.f64 (/.f64 (cos.f64 y) z) x) |
(* x (+ (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x) |
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)))) |
(*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) x)) #s(literal 1 binary64)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
(* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* x (* z (sin y)))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (* x (cos y)) (* z (pow (sin y) 2))) |
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z)) |
(* x (- (/ (cos y) (* z (pow (sin y) 2))) (/ 1 (* x (sin y))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) x)) x) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* x (- (/ 1 (* y z)) (/ 1 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 y) x) (/.f64 (cos.f64 y) z)) x) |
(* -1 (* x (- (* 1/2 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) x))) |
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (* x (- (/ (cos y) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* x (* z (sin y))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) x))) |
(* -1 (* x (+ (* -1 (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (* x (sin y)))))) |
(fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(* -1 (* x (- (/ 1 x) (/ 1 (* y z))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) x #s(literal 1 binary64))) |
x |
(+ x (* y z)) |
(fma.f64 z y x) |
(+ x (* y (+ z (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x) |
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(/ x z) |
(/.f64 x z) |
(+ y (/ x z)) |
(+.f64 (/.f64 x z) y) |
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) |
(fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 z (*.f64 x x)) #s(literal 1/3 binary64) (/.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (/.f64 z x) #s(literal 3 binary64))) x)) (fma.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 7/360 binary64) y) y #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y) |
(* -1 (/ x (* (pow y 2) (pow z 2)))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 y y) z) z)) |
(/ (+ (* -1 (/ x (pow z 2))) (/ y z)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 y z) (/.f64 (/.f64 x z) z)) (*.f64 y y)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (* y (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2)))))) (/ 1 z)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 x z) z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y (/.f64 (/.f64 (neg.f64 x) z) z)) (*.f64 y y)) |
(/ (+ (* -1 (/ x (pow z 2))) (* y (+ (* y (+ (* -1 (- (* -1/2 (/ x (pow z 2))) (* -1/3 (/ x (pow z 2))))) (* 1/6 (/ y z)))) (/ 1 z)))) (pow y 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 x z) z) #s(literal 1/6 binary64))) y (/.f64 #s(literal 1 binary64) z)) y (/.f64 (/.f64 (neg.f64 x) z) z)) (*.f64 y y)) |
(/ x (* (pow y 2) z)) |
(/.f64 x (*.f64 (*.f64 y y) z)) |
(/ (+ (* -1 y) (/ x z)) (pow y 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y) |
(/ (+ (* y (- (* y (- (* -1/2 (/ x z)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/6 binary64)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y) |
(/ (+ (* y (- (* y (- (+ (* -1/2 (/ x z)) (* -1/6 y)) (* -1/3 (/ x z)))) 1)) (/ x z)) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(sqrt (* y z)) |
(sqrt.f64 (*.f64 z y)) |
(+ (sqrt (* y z)) (* -1/12 (sqrt (* (pow y 5) z)))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z)) #s(literal -1/12 binary64) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* 1/240 (sqrt (* (pow y 3) z)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y))) |
(+ (sqrt (* y z)) (* (pow y 3) (+ (* -1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ z y))) (* 1/240 (sqrt (/ z y)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 z y)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 z y))) |
(pow y 2) |
(*.f64 y y) |
(/ (+ (* -1 y) (/ x z)) y) |
(/.f64 (-.f64 (/.f64 x z) y) y) |
(* z (+ (sin y) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(* -1/6 (* (pow y 3) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) z (/.f64 (/.f64 z y) y))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2)))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 z y) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1/2 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64)) |
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 x y) y)) y) y) |
(* -1/2 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2)) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/ 1 (+ (* x (cos y)) (* z (sin y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))) |
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z)) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(sqrt (* z (sin y))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) z))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64))) |
(/ (+ (* x (cos y)) (* z (sin y))) z) |
(/.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) |
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y z) y x) |
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) x) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #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 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (+ (* -1 (/ z (sin y))) (/ (* x (cos y)) (pow (sin y) 2))) z) |
(/.f64 (fma.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (sin.f64 y))) z) |
(/ (+ (* -1 z) (/ x y)) z) |
(/.f64 (-.f64 (/.f64 x y) z) z) |
(* y (* z (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 x z)) z) |
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z) |
(/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (fma.f64 (neg.f64 (pow.f64 (/.f64 x z) #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)))) z) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 z) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) y (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) (neg.f64 z))) (neg.f64 z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 z))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(* -1 (* z (* (sin y) (pow (sqrt -1) 2)))) |
(*.f64 (sin.f64 y) z) |
(* -1 (* (sqrt (* z (sin y))) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 (sin.f64 y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 371 |
| 0 | 91 | 363 |
| 1 | 375 | 361 |
| 2 | 2582 | 361 |
| 0 | 9379 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) |
#s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
#s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)) |
#s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 z (sin.f64 y))) |
(*.f64 z (sin.f64 y)) |
(*.f64 y y) |
(/.f64 (-.f64 (/.f64 x z) y) y) |
| Outputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z) |
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) (*.f64 (sin.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)) (*.f64 (sin.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y))) (sqrt.f64 z) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 y)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (sin.f64 y) z))) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (*.f64 (sin.f64 y) z))) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) #s(literal 1 binary64)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (*.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (*.f64 z (/.f64 (*.f64 (cos.f64 y) x) z))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 y) x) z) z (*.f64 (sin.f64 y) z)) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x z) y)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 x z) y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x z) y) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y))) (neg.f64 (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (*.f64 y (+.f64 (/.f64 x z) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x z) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (/.f64 x z) y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x z) y) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) y)) |
(/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 y y)) (*.f64 y (+.f64 (/.f64 x z) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 x z) y)) (neg.f64 y)) |
(/.f64 (-.f64 (/.f64 x z) y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 (/.f64 x z) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 (/.f64 x z) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 (/.f64 x z) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 (/.f64 x z) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (/.f64 x z) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 x z) y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64)) |
(fma.f64 x (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (/.f64 (*.f64 y y) (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 y (+.f64 (/.f64 x z) y))) (/.f64 (*.f64 y y) (*.f64 y (+.f64 (/.f64 x z) y)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 y (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 (-.f64 (/.f64 x z) y)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) y)) y) (/.f64 (/.f64 (*.f64 y y) (+.f64 (/.f64 x z) y)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) y) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 (/.f64 x z) y) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) y)) |
(-.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (/.f64 x z) y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (/.f64 x z) y) #s(literal -1 binary64)) |
Compiled 19 321 to 2 331 computations (87.9% saved)
43 alts after pruning (35 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 16 | 504 |
| Fresh | 6 | 19 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 497 | 43 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| 53.6% | (fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| 52.7% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 22.0% | (pow.f64 (pow.f64 #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 35.4% | (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) | |
| ✓ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
| 32.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 59.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z)))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y))))) | |
| 17.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) | |
| 14.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) y)) (neg.f64 z)))) | |
| ✓ | 41.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
| 59.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 35.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 17.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)))) | |
| 18.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) | |
| 18.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))))) | |
| ✓ | 18.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
| 51.5% | #s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) | |
| 51.9% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) | |
| 88.7% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) z)) | |
| 87.9% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| 88.8% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) x (sin.f64 y)) z)) | |
| 43.4% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) | |
| 29.4% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) | |
| 48.6% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) | |
| 59.7% | #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) | |
| 44.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) | |
| 49.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) | |
| 49.4% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) | |
| 49.7% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) | |
| 33.5% | #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 2.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) | |
| 35.3% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) | |
| 2.8% | #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))))) | |
| ✓ | 50.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
| ✓ | 22.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
| 50.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) | |
| ✓ | 41.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 17.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* z (sin y))) 2) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) | |
| ✓ | 18.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| 17.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
Compiled 3 165 to 1 225 computations (61.3% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* z (sin y))) 2) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) z)) x (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))) |
(fma.f64 (sin.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 (fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (sin.f64 y)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x)))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
#s(approx (/ (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (*.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (*.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) x) z) #s(literal 2 binary64))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
4 calls:
| 24.0ms | y |
| 23.0ms | x |
| 23.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 21.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* z (sin y))) 2) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
4 calls:
| 47.0ms | y |
| 31.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | z |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | x |
| 79.8% | 2 | y |
| 86.6% | 3 | z |
| 75.1% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* z (sin y))) 2) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) |
2 calls:
| 10.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | z |
| 81.4% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* z (sin y))) 2) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
4 calls:
| 11.0ms | y |
| 10.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 3 | z |
| 50.7% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 73.5% | 3 | y |
| 63.2% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) #s(approx (* (+ (* -1/2 (* y y)) 1) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (/.f64 x z)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z)) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 y z))) y z) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (pow (sqrt (* z (sin y))) 2) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 y z) x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) x)) y z) y x)) |
#s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) (*.f64 #s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal -1/2 binary64)) y #s(literal 1 binary64)) y (/.f64 x z))) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y z))) y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (sin y)) (* x (cos y)))) (fma.f64 (neg.f64 y) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (/.f64 x z) y) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x z) y) (*.f64 y y)) (*.f64 y y)) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) #s(approx (/ 1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 x z) y)) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(approx (+ (* (/ x (pow (sin y) 2)) (/ (cos y) z)) (/ -1 (sin y))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) y #s(literal -1 binary64)) y (/.f64 x z)) y) y)) (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 10.0ms | y |
| 10.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | z |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 50.7% | 1 | z |
| 50.7% | 1 | x |
| 50.7% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
| Outputs |
|---|
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.6% | 3 | x |
| 35.3% | 1 | y |
| 42.4% | 3 | z |
| 35.3% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
4 calls:
| 2.0ms | z |
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.2% | 1 | y |
| 18.2% | 1 | z |
| 18.2% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.3368724706014533e-72 | 6.3344048325425316e-24 |
| 16.0ms | -2.0796088410875522e+96 | -4.763504557750591e+91 |
| 33.0ms | 320× | 0 | valid |
Compiled 812 to 614 computations (24.4% saved)
ival-cos: 10.0ms (44% of total)ival-sin: 7.0ms (30.8% of total)ival-mult: 4.0ms (17.6% of total)ival-add: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 69.0ms | 2.3368724706014533e-72 | 6.3344048325425316e-24 |
| 20.0ms | -3.2643242084851354e-62 | -6.8307421704743e-74 |
| 77.0ms | 320× | 0 | valid |
Compiled 980 to 718 computations (26.7% saved)
ival-cos: 56.0ms (81.4% of total)ival-sin: 7.0ms (10.2% of total)ival-mult: 4.0ms (5.8% of total)ival-add: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.0383666506043469 | 0.21237006408589443 |
| 17.0ms | -113373639846.28 | -0.00040340969688558393 |
| 17.0ms | 256× | 0 | valid |
Compiled 540 to 430 computations (20.4% saved)
ival-cos: 3.0ms (28.1% of total)ival-mult: 3.0ms (28.1% of total)ival-sin: 3.0ms (28.1% of total)ival-add: 1.0ms (9.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.502376503487957e-128 | 9.099159038161194e-123 |
| 48.0ms | -3.2643242084851354e-62 | -6.8307421704743e-74 |
| 54.0ms | 288× | 0 | valid |
Compiled 1 114 to 812 computations (27.1% saved)
ival-sin: 36.0ms (76% of total)ival-cos: 6.0ms (12.7% of total)ival-mult: 4.0ms (8.4% of total)ival-add: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 244 |
| 1 | 126 | 244 |
| 2 | 176 | 244 |
| 3 | 290 | 244 |
| 4 | 446 | 240 |
| 5 | 674 | 240 |
| 6 | 945 | 240 |
| 7 | 1795 | 240 |
| 8 | 2457 | 240 |
| 9 | 2610 | 240 |
| 10 | 2974 | 240 |
| 11 | 3419 | 240 |
| 12 | 3764 | 240 |
| 13 | 4059 | 240 |
| 14 | 4746 | 240 |
| 15 | 5063 | 240 |
| 16 | 5488 | 240 |
| 17 | 7315 | 240 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(if (<=.f64 x #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) (if (<=.f64 x #s(literal 8575115646407649/1361129467683753853853498429727072845824 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))))) |
(if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) (if (<=.f64 x #s(literal 5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))))) |
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
(if (<=.f64 x #s(literal -1025729175095185/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(if (<=.f64 x #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) (if (<=.f64 x #s(literal 8575115646407649/1361129467683753853853498429727072845824 binary64)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))))) |
(if (or (<=.f64 x #s(literal -1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792 binary64)) (not (<=.f64 x #s(literal 8575115646407649/1361129467683753853853498429727072845824 binary64)))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
(if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) (if (<=.f64 x #s(literal 5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #s(approx (/ 1 (/ 1 (+ (* z (sin y)) (* x (cos y))))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))))) |
(if (or (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (not (<=.f64 x #s(literal 5759265950624221/205688069665150755269371147819668813122841983204197482918576128 binary64)))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (cos.f64 y) x))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (sin.f64 y) z))) |
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 7349874591868649/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))) |
(if (or (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) (not (<=.f64 y #s(literal 7349874591868649/72057594037927936 binary64)))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (*.f64 (sin.f64 y) z)) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) (fma.f64 z y x)) |
(if (<=.f64 x #s(literal -1025729175095185/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))))) |
(if (or (<=.f64 x #s(literal -1025729175095185/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (not (<=.f64 x #s(literal 6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (*.f64 #s(approx (+ (* -1/2 (* y y)) 1) #s(literal 1 binary64)) x))) #s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) #s(approx (+ (* z y) x) (*.f64 z y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) |
#s(approx (* (+ (* (/ (cos y) z) x) (sin y)) z) #s(approx (+ (* z y) x) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 240 |
| 1 | 295 | 236 |
| 2 | 899 | 230 |
| 3 | 2097 | 224 |
| 4 | 3852 | 224 |
| 5 | 6548 | 224 |
| 0 | 8035 | 195 |
| 0 | 29 | 157 |
| 0 | 47 | 132 |
| 1 | 183 | 132 |
| 2 | 1095 | 132 |
| 0 | 9056 | 132 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 29 | 19 |
| 2 | 185 | 19 |
| 3 | 1854 | 19 |
| 0 | 8227 | 18 |
| 0 | 622 | 3303 |
| 1 | 2038 | 3197 |
| 2 | 7149 | 3156 |
| 0 | 8147 | 3011 |
| 0 | 496 | 1967 |
| 1 | 1553 | 1893 |
| 2 | 5389 | 1839 |
| 0 | 8180 | 1735 |
| 0 | 539 | 2162 |
| 1 | 1749 | 2068 |
| 2 | 6098 | 2037 |
| 0 | 8420 | 1918 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 578 to 274 computations (52.6% saved)
Compiled 542 to 172 computations (68.3% saved)
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