
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.0s | 8 256× | 0 | valid |
ival-cos: 312.0ms (43% of total)ival-sin: 165.0ms (22.8% of total)ival-mult: 133.0ms (18.3% of total)ival-sub: 104.0ms (14.3% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 4.0ms (0.6% 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 |
| 145.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 56.0ms (43.6% of total)ival-sub: 33.0ms (25.7% of total)ival-mult: 27.0ms (21% of total)ival-sin: 12.0ms (9.3% 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 | 90 | 84 |
| 2 | 181 | 84 |
| 3 | 387 | 84 |
| 4 | 698 | 84 |
| 5 | 922 | 84 |
| 6 | 1124 | 84 |
| 7 | 1200 | 84 |
| 8 | 1209 | 84 |
| 9 | 1213 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 226 | 9 |
| 8 | 292 | 9 |
| 9 | 322 | 9 |
| 10 | 338 | 9 |
| 0 | 338 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.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 | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 226 | 24 |
| 8 | 292 | 24 |
| 9 | 322 | 24 |
| 10 | 338 | 24 |
| 0 | 338 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.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 | 0.015625 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.125 | (*.f64 z (sin.f64 y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 34.0ms (77.2% of total)ival-sin: 5.0ms (11.4% of total)ival-mult: 3.0ms (6.8% of total)ival-sub: 1.0ms (2.3% 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 |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 255 |
| 1 | 292 | 250 |
| 2 | 850 | 244 |
| 3 | 2094 | 238 |
| 4 | 3669 | 238 |
| 5 | 6309 | 238 |
| 0 | 8691 | 217 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(cos y) |
(* z (sin y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.f64 x (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 (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 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))) (*.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) |
(*.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)) |
(*.f64 (sin.f64 y) z) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1966 | 19 |
| 0 | 8307 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (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 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #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 (pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.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 (sin.f64 y) z (*.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 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #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 (*.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 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #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 (*.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 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -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 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #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))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(+.f64 (*.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))) |
(*.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 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
Compiled 12 028 to 736 computations (93.9% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 16 | 247 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 231 | 17 | 248 |
| Status | Accuracy | Program |
|---|---|---|
| 57.5% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 79.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 67.9% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 39.4% | (/.f64 (-.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) | |
| 38.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 57.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| ▶ | 38.6% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
| ▶ | 57.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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))))) |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 62.1% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| ▶ | 79.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 55.6% | (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) | |
| 46.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 46.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 49.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 43.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 905 to 474 computations (47.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) | |
| cost-diff | 9 | (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) | |
| cost-diff | 22 | (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 1 | (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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))))) | |
| cost-diff | 12 | (/.f64 (-.f64 (*.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)))) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 x (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| cost-diff | 0 | (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 | 4 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 408 |
| 0 | 68 | 308 |
| 1 | 122 | 298 |
| 2 | 292 | 298 |
| 3 | 1208 | 298 |
| 4 | 3843 | 298 |
| 0 | 8797 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 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) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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))))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.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 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(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))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.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) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 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 2 binary64) |
(-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(/.f64 #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 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.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) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (neg.f64 z) x)) |
(-.f64 x (*.f64 z y)) |
(fma.f64 y (neg.f64 z) x) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.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 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(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 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
#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)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 x (cos.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)) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.01206158152923 | (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 3.999983486641647 | (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) | |
| accuracy | 5.467001345132738 | (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| accuracy | 38.77280768428882 | (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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))))) | |
| accuracy | 0.20541000976844204 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 1.8476459291510292 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 27.084069855584602 | (/.f64 (-.f64 (*.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)))) | |
| accuracy | 0.015625 | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.09375 | (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.125 | (*.f64 z (sin.f64 y)) | |
| accuracy | 30.6949029525893 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 x (*.f64 z y)) | |
| accuracy | 32.63447064113299 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0.0859375 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.09375 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.18359375 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 108.0ms | 256× | 0 | valid |
Compiled 413 to 35 computations (91.5% saved)
ival-mult: 12.0ms (19.6% of total)ival-div: 11.0ms (18% of total)ival-sin: 7.0ms (11.4% of total)ival-neg: 7.0ms (11.4% of total)ival-pow2: 7.0ms (11.4% of total)ival-sub: 5.0ms (8.2% of total)ival-cos: 5.0ms (8.2% of total)ival-pow: 4.0ms (6.5% of total)ival-add: 2.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (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 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(/.f64 (-.f64 (*.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 (*.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 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) |
(*.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))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos 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)))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* x (cos y)) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(- (* x (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(- (* x (- (+ (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (+ (/ (* (cos y) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(- (* x (- (+ (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (pow (cos y) 2) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (+ (/ (* (cos y) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (* z (sin y))) (/ (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) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(- (* -1 (* x (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(- (* x (- (* x (* z (* (pow (cos y) 2) (sin y)))) (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(- (* x (- (* x (+ (* x (pow (cos y) 3)) (* z (* (pow (cos y) 2) (sin y))))) (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (cos y)) (* -2 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (+ (* -1 (cos y)) (* x (- (/ (pow (cos y) 2) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y)))))))) (* -2 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (+ (* -1 (cos y)) (* x (- (+ (* x (- (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))) (+ (* 2 (/ (* (cos y) (- (/ (pow (cos y) 2) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y))))))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- (* -1 (cos y)) (* -2 (cos y)))) (* (pow z 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y)))))))) (* -2 (cos y))))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (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) 2))) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* x (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 3))) |
(* (pow x 2) (* z (* (pow (cos y) 2) (sin y)))) |
(* (pow x 2) (+ (* x (pow (cos y) 3)) (* z (* (pow (cos y) 2) (sin y))))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 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 |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(* -1 (* x (cos y))) |
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y))) |
(/ (- (+ (* 2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* 2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (* (pow x 2) (cos y)))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* z (* (sin y) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y)))))) (cos y)))) (pow x 3))) (+ (* 2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (* (pow x 2) (cos y)))))) x) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (+ (/ (* z (* (pow (cos y) 2) (sin y))) x) (pow (cos y) 3))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 2) (* (cos y) (pow (sin y) 2))) (pow x 2))) (+ (/ (* z (* (pow (cos y) 2) (sin y))) x) (pow (cos y) 3)))) |
(* (pow x 3) (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (+ (/ (* z (* (pow (cos y) 2) (sin y))) x) (pow (cos y) 3))) (/ (* (pow z 2) (* (cos y) (pow (sin y) 2))) (pow x 2)))) |
(* x (- (+ (cos y) (/ (* z (sin y)) x)) (* 2 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* z (sin y)) x))) (+ (* 2 (/ (* z (sin y)) x)) (+ (* 2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (- (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2)))) (/ (* z (sin y)) x)))) (+ (* 2 (/ (* z (sin y)) x)) (+ (* 2 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* 2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))))) (* (pow x 3) (cos y)))) (+ (* 2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (* (pow x 2) (cos y)))) (+ (/ (* (pow z 2) (* (pow (sin y) 2) (- (* z (sin y)) (* 2 (* z (sin y)))))) (* (pow x 3) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (* (pow z 2) (* (cos y) (pow (sin y) 2)))) |
(* x (+ (* (pow z 2) (* (cos y) (pow (sin y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin 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 (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* -1 (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* 2 (/ (* z (sin y)) (pow (cos y) 2)))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* -1 (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))))))) (+ (* -1 (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* 2 (/ (* z (sin y)) (pow (cos y) 2)))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* z (* (pow (cos y) 2) (sin y))) x)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (cos y) (pow (sin y) 2))) x)) (* z (* (pow (cos y) 2) (sin y)))) x)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) x) (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2))))) x)) (* z (* (pow (cos y) 2) (sin y)))) x)) (* -1 (pow (cos y) 3))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* z (sin y)) (* 2 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (+ (* -2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) x)) (* z (sin y))) (* 2 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (* -2 (/ (* z (* (sin y) (- (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (+ (* -2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (* z (sin y)) (* 2 (* z (sin y)))))) (pow (cos y) 2)))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) x)) (* z (sin y))) (* 2 (* z (sin y)))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) |
(* -1 (* x (+ (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) 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))))))) |
(/ 1 x) |
(+ (/ 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)) |
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(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* 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 |
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(+ 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))))))) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
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(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(* -1 x) |
(- (* -1 (* y z)) x) |
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x) |
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ (* y (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) (/ 1 x)) |
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(+ (* y (- (+ (* 2 (/ z (pow x 2))) (* y (- (+ (* 1/2 (/ 1 x)) (+ (* 2 (/ (pow z 2) (pow x 3))) (* y (- (+ (* -1/3 (/ z (pow x 2))) (/ (pow z 3) (pow x 4))) (+ (* -1/6 (/ z (pow x 2))) (+ (/ (* z (- (+ (* 1/2 (/ 1 x)) (* 2 (/ (pow z 2) (pow x 3)))) (/ (* z (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) x))) x) (/ (* (- (* 2 (/ z (pow x 2))) (/ z (pow x 2))) (- (* (pow x 2) (+ (* -1 x) (* -1/2 x))) (* x (pow z 2)))) (pow x 3)))))))) (/ (* z (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) x)))) (/ z (pow x 2)))) (/ 1 x)) |
(pow x 3) |
(+ (* (pow x 2) (* y z)) (pow x 3)) |
(+ (* y (+ (* y (- (* (pow x 2) (+ (* -1 x) (* -1/2 x))) (* x (pow z 2)))) (* (pow x 2) z))) (pow x 3)) |
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(+ x (* y (- z (* 2 z)))) |
(+ x (* y (- (+ z (* y (- (* -1/2 x) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x)))))) (* 2 z)))) |
(+ x (* y (- (+ z (* y (- (+ (* -1/2 x) (* y (- (* -1/6 z) (+ (* -1/3 z) (+ (* 2 (/ (* z (- (* -1/2 x) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x))))) x)) (+ (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- z (* 2 z))) (pow x 2)) (/ (pow z 3) (pow x 2)))))))) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x)))))) (* 2 z)))) |
(pow x 2) |
(+ (* 2 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (+ (* -1 (* x z)) (* -1/3 (* x z)))) (pow z 2)))))) (pow x 2)) |
(* -1 (pow x 2)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
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(* (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))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* x (pow z 2)) (* y (pow z 3)))) |
(* (pow y 2) (+ (* x (pow z 2)) (* y (+ (* y (* (pow z 2) (+ (* -1/2 x) (* -1/3 x)))) (pow z 3))))) |
(* (pow y 2) (+ (* x (pow z 2)) (* y (+ (* y (+ (* y (* (pow z 2) (+ (* -1/3 z) (* -1/6 z)))) (* (pow z 2) (+ (* -1/2 x) (* -1/3 x))))) (pow z 3))))) |
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (+ (* -1 x) (* -1/2 x)))))) (pow x 3)) |
(+ (* y (+ (* y (+ (* (pow x 2) (* y (+ (* -1 z) (* -1/6 z)))) (* (pow x 2) (+ (* -1 x) (* -1/2 x))))) (* (pow x 2) z))) (pow x 3)) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* y (- (/ x y) z)) |
(cos y) |
(* z (sin y)) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(- (* -1 (* z (sin y))) (* x (cos y))) |
(/ (pow (+ (* x (cos y)) (* z (sin y))) 2) (- (* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y))))))) |
(- (* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y)))))) |
(/ (- (* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y)))))) (pow (+ (* x (cos y)) (* z (sin y))) 2)) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y))))) |
(* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(+ (/ 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) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* z (- (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* x (cos y))))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (pow (sin y) 2) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* (pow x 2) (pow (cos y) 2)))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (/ (* (sin y) (- (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* x (cos y)))))) (* x (cos y))))))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* x (cos y))))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* (pow x 2) (* z (* (pow (cos y) 2) (sin y)))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* z (+ (* -1 (* x (* z (* (cos y) (pow (sin y) 2))))) (* (pow x 2) (* (pow (cos y) 2) (sin y))))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* z (+ (* z (- (* -1 (* z (pow (sin y) 3))) (* x (* (cos y) (pow (sin y) 2))))) (* (pow x 2) (* (pow (cos y) 2) (sin y))))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* x (cos y)) (* z (- (sin y) (* 2 (sin y))))) |
(+ (* x (cos y)) (* z (- (+ (sin y) (* z (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (+ (* 2 (/ (* (sin y) (- (sin y) (* 2 (sin y)))) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))) (* 2 (sin y))))) |
(+ (* x (cos y)) (* z (- (+ (sin y) (* z (- (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (- (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (+ (* 2 (/ (* (sin y) (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (+ (* 2 (/ (* (sin y) (- (sin y) (* 2 (sin y)))) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (/ (* (pow (sin y) 2) (- (sin y) (* 2 (sin y)))) (* (pow x 2) (pow (cos y) 2))))))) (+ (* 2 (/ (* (sin y) (- (sin y) (* 2 (sin y)))) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))) (* 2 (sin y))))) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(* (pow z 2) (+ (* x (* (cos y) (pow (sin y) 2))) (* z (pow (sin y) 3)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) 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 (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(/ (- (* -2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z) |
(/ (- (+ (* -2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))) z) |
(/ (- (+ (* -2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) (pow z 3))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))) z) |
(* (pow z 3) (- (* -1 (/ (* x (* (cos y) (pow (sin y) 2))) z)) (pow (sin y) 3))) |
(* (pow z 3) (- (/ (* (pow x 2) (* (pow (cos y) 2) (sin y))) (pow z 2)) (+ (/ (* x (* (cos y) (pow (sin y) 2))) z) (pow (sin y) 3)))) |
(* (pow z 3) (- (+ (/ (* (pow x 2) (* (pow (cos y) 2) (sin y))) (pow z 2)) (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (+ (/ (* x (* (cos y) (pow (sin y) 2))) z) (pow (sin y) 3)))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))) (* -2 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (+ (* -2 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* 2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (* (pow z 2) (sin y)))))))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2)))))) (+ (* -2 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (* (pow z 2) (sin y)))) (+ (* 2 (/ (* x (* (cos y) (- (/ (* (pow x 2) (pow (cos y) 2)) (sin y)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* 2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))))))) (* (pow z 3) (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (* (pow z 3) (pow (sin y) 2))))))))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 3) (+ (/ (* x (* (cos y) (pow (sin y) 2))) z) (pow (sin y) 3))) |
(* z (+ (* (pow x 2) (* (pow (cos y) 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos 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 (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)) (+ (* -1 (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) z))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)) (+ (* -1 (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))))) (+ (* -1 (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) z))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* (pow z 3) (- (/ (* x (* (cos y) (pow (sin y) 2))) z) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (sin y))) z) (* x (* (cos y) (pow (sin y) 2)))) z)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) z))) z)) (* x (* (cos y) (pow (sin y) 2)))) z)) (* -1 (pow (sin y) 3))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (* x (cos y))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z))) (* -2 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (pow (sin y) 2)))) z))) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z))) (* -2 (* x (cos y)))) z))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z))) z)) (pow (sin y) 2))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* x (* (cos y) (pow (sin y) 2))) z)) (* -1 (pow (sin y) 3))))) |
(* -1 (* z (+ (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 185.0ms | x | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))) (/ 1 (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))))) (pow (+ (* (sin y) z) (* (cos y) x)) 2) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)) (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 125.0ms | x | @ | -inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))) (/ 1 (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))))) (pow (+ (* (sin y) z) (* (cos y) x)) 2) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)) (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 17.0ms | z | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))) (/ 1 (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))))) (pow (+ (* (sin y) z) (* (cos y) x)) 2) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)) (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 11.0ms | z | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))) (/ 1 (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))))) (pow (+ (* (sin y) z) (* (cos y) x)) 2) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)) (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 10.0ms | y | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (- (* (neg z) (sin y)) (* (cos y) x)) (* (neg z) (sin y)) (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))) (/ 1 (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2))))) (pow (+ (* (sin y) z) (* (cos y) x)) 2) (* (cos y) x) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)) (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1248 | 7839 |
| 1 | 4371 | 7638 |
| 0 | 9049 | 7369 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos 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)))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(* x (cos y)) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(- (* x (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(- (* x (- (+ (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (+ (/ (* (cos y) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(- (* x (- (+ (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (pow (cos y) 2) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (+ (/ (* (cos y) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (* z (sin y))) (/ (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) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(- (* -1 (* x (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(- (* x (- (* x (* z (* (pow (cos y) 2) (sin y)))) (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(- (* x (- (* x (+ (* x (pow (cos y) 3)) (* z (* (pow (cos y) 2) (sin y))))) (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (cos y)) (* -2 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (+ (* -1 (cos y)) (* x (- (/ (pow (cos y) 2) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y)))))))) (* -2 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (+ (* -1 (cos y)) (* x (- (+ (* x (- (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))) (+ (* 2 (/ (* (cos y) (- (/ (pow (cos y) 2) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y))))))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- (* -1 (cos y)) (* -2 (cos y)))) (* (pow z 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y)))))))) (* -2 (cos y))))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* x (+ (* 2 (* z (* (cos y) (sin y)))) (* x (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) 2))) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* x (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 3))) |
(* (pow x 2) (* z (* (pow (cos y) 2) (sin y)))) |
(* (pow x 2) (+ (* x (pow (cos y) 3)) (* z (* (pow (cos y) 2) (sin y))))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 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 |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(* -1 (* x (cos y))) |
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y))) |
(/ (- (+ (* 2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* 2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (* (pow x 2) (cos y)))))) x) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* z (* (sin y) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y)))))) (cos y)))) (pow x 3))) (+ (* 2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (* (pow x 2) (cos y)))))) x) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (+ (/ (* z (* (pow (cos y) 2) (sin y))) x) (pow (cos y) 3))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 2) (* (cos y) (pow (sin y) 2))) (pow x 2))) (+ (/ (* z (* (pow (cos y) 2) (sin y))) x) (pow (cos y) 3)))) |
(* (pow x 3) (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (+ (/ (* z (* (pow (cos y) 2) (sin y))) x) (pow (cos y) 3))) (/ (* (pow z 2) (* (cos y) (pow (sin y) 2))) (pow x 2)))) |
(* x (- (+ (cos y) (/ (* z (sin y)) x)) (* 2 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (/ (* z (sin y)) x))) (+ (* 2 (/ (* z (sin y)) x)) (+ (* 2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (* (pow x 2) (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (- (+ (cos y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 2)))) (/ (* z (sin y)) x)))) (+ (* 2 (/ (* z (sin y)) x)) (+ (* 2 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* 2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))))) (* (pow x 3) (cos y)))) (+ (* 2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (* (pow x 2) (cos y)))) (+ (/ (* (pow z 2) (* (pow (sin y) 2) (- (* z (sin y)) (* 2 (* z (sin y)))))) (* (pow x 3) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))))) |
(* (pow x 2) (pow (cos y) 2)) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (pow (cos y) 2))) |
(* (pow x 2) (+ (* 2 (/ (* z (* (cos y) (sin y))) x)) (+ (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (* (pow z 2) (* (cos y) (pow (sin y) 2)))) |
(* x (+ (* (pow z 2) (* (cos y) (pow (sin y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) x))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin 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 (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* -1 (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* 2 (/ (* z (sin y)) (pow (cos y) 2)))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* -1 (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))))) (* x (cos y)))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))))))) (+ (* -1 (/ (* z (* (sin y) (- (* 2 (/ (* z (sin y)) (pow (cos y) 2))) (/ (* z (sin y)) (pow (cos y) 2))))) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* 2 (/ (* z (sin y)) (pow (cos y) 2)))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (* z (* (pow (cos y) 2) (sin y))) x)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow z 2) (* (cos y) (pow (sin y) 2))) x)) (* z (* (pow (cos y) 2) (sin y)))) x)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) x) (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2))))) x)) (* z (* (pow (cos y) 2) (sin y)))) x)) (* -1 (pow (cos y) 3))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* z (sin y)) (* 2 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (+ (* -2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) x)) (* z (sin y))) (* 2 (* z (sin y)))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (+ (* -2 (/ (* z (* (sin y) (- (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (+ (* -2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (- (* z (sin y)) (* 2 (* z (sin y)))))) (pow (cos y) 2)))) x)) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -2 (/ (* z (* (sin y) (- (* z (sin y)) (* 2 (* z (sin y)))))) (cos y))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) x)) (* z (sin y))) (* 2 (* z (sin y)))) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -2 (* z (* (cos y) (sin y)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))) x)) (pow (cos y) 2))) |
(* -1 (* x (+ (* -1 (* (pow z 2) (* (cos y) (pow (sin y) 2)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) 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))))))) |
(/ 1 x) |
(+ (/ 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 (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* 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 (* -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))))))) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(* -1 x) |
(- (* -1 (* y z)) x) |
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x) |
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(+ (* y (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (+ (* 2 (/ z (pow x 2))) (* y (- (+ (* 1/2 (/ 1 x)) (* 2 (/ (pow z 2) (pow x 3)))) (/ (* z (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) x)))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (- (+ (* 2 (/ z (pow x 2))) (* y (- (+ (* 1/2 (/ 1 x)) (+ (* 2 (/ (pow z 2) (pow x 3))) (* y (- (+ (* -1/3 (/ z (pow x 2))) (/ (pow z 3) (pow x 4))) (+ (* -1/6 (/ z (pow x 2))) (+ (/ (* z (- (+ (* 1/2 (/ 1 x)) (* 2 (/ (pow z 2) (pow x 3)))) (/ (* z (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) x))) x) (/ (* (- (* 2 (/ z (pow x 2))) (/ z (pow x 2))) (- (* (pow x 2) (+ (* -1 x) (* -1/2 x))) (* x (pow z 2)))) (pow x 3)))))))) (/ (* z (- (* 2 (/ z (pow x 2))) (/ z (pow x 2)))) x)))) (/ z (pow x 2)))) (/ 1 x)) |
(pow x 3) |
(+ (* (pow x 2) (* y z)) (pow x 3)) |
(+ (* y (+ (* y (- (* (pow x 2) (+ (* -1 x) (* -1/2 x))) (* x (pow z 2)))) (* (pow x 2) z))) (pow x 3)) |
(+ (* y (+ (* y (- (+ (* y (- (* (pow x 2) (+ (* -1 z) (* -1/6 z))) (pow z 3))) (* (pow x 2) (+ (* -1 x) (* -1/2 x)))) (* x (pow z 2)))) (* (pow x 2) z))) (pow x 3)) |
(+ x (* y (- z (* 2 z)))) |
(+ x (* y (- (+ z (* y (- (* -1/2 x) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x)))))) (* 2 z)))) |
(+ x (* y (- (+ z (* y (- (+ (* -1/2 x) (* y (- (* -1/6 z) (+ (* -1/3 z) (+ (* 2 (/ (* z (- (* -1/2 x) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x))))) x)) (+ (/ (* (+ (* -1 (pow x 2)) (pow z 2)) (- z (* 2 z))) (pow x 2)) (/ (pow z 3) (pow x 2)))))))) (+ (* 2 (/ (* z (- z (* 2 z))) x)) (* 2 (/ (pow z 2) x)))))) (* 2 z)))) |
(pow x 2) |
(+ (* 2 (* x (* y z))) (pow x 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow x 2)) (pow z 2))))) (pow x 2)) |
(+ (* y (+ (* 2 (* x z)) (* y (+ (* -1 (pow x 2)) (+ (* y (+ (* -1 (* x z)) (* -1/3 (* x z)))) (pow z 2)))))) (pow x 2)) |
(* -1 (pow x 2)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (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))) |
(* x (* (pow y 2) (pow z 2))) |
(* (pow y 2) (+ (* x (pow z 2)) (* y (pow z 3)))) |
(* (pow y 2) (+ (* x (pow z 2)) (* y (+ (* y (* (pow z 2) (+ (* -1/2 x) (* -1/3 x)))) (pow z 3))))) |
(* (pow y 2) (+ (* x (pow z 2)) (* y (+ (* y (+ (* y (* (pow z 2) (+ (* -1/3 z) (* -1/6 z)))) (* (pow z 2) (+ (* -1/2 x) (* -1/3 x))))) (pow z 3))))) |
(+ (* y (+ (* (pow x 2) z) (* (pow x 2) (* y (+ (* -1 x) (* -1/2 x)))))) (pow x 3)) |
(+ (* y (+ (* y (+ (* (pow x 2) (* y (+ (* -1 z) (* -1/6 z)))) (* (pow x 2) (+ (* -1 x) (* -1/2 x))))) (* (pow x 2) z))) (pow x 3)) |
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y)))) |
(* y (- (/ x y) z)) |
(cos y) |
(* z (sin y)) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(- (* -1 (* z (sin y))) (* x (cos y))) |
(/ (pow (+ (* x (cos y)) (* z (sin y))) 2) (- (* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y))))))) |
(- (* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y)))))) |
(/ (- (* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) (* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y)))))) (pow (+ (* x (cos y)) (* z (sin y))) 2)) |
(pow (+ (* x (cos y)) (* z (sin y))) 2) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(* (pow z 2) (* (pow (sin y) 2) (+ (* x (cos y)) (* z (sin y))))) |
(* (pow x 2) (* (pow (cos y) 2) (+ (* x (cos y)) (* z (sin y))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(+ (/ 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) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* z (- (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* x (cos y))))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (+ (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (* z (- (+ (* -1 (* z (+ (* -1 (/ (* (pow (sin y) 2) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* (pow x 2) (pow (cos y) 2)))) (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (/ (* (sin y) (- (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* x (cos y)))))) (* x (cos y))))))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- (* 2 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (* x (cos y))))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(+ (* (pow x 2) (* z (* (pow (cos y) 2) (sin y)))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* z (+ (* -1 (* x (* z (* (cos y) (pow (sin y) 2))))) (* (pow x 2) (* (pow (cos y) 2) (sin y))))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* z (+ (* z (- (* -1 (* z (pow (sin y) 3))) (* x (* (cos y) (pow (sin y) 2))))) (* (pow x 2) (* (pow (cos y) 2) (sin y))))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* x (cos y)) (* z (- (sin y) (* 2 (sin y))))) |
(+ (* x (cos y)) (* z (- (+ (sin y) (* z (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (+ (* 2 (/ (* (sin y) (- (sin y) (* 2 (sin y)))) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))) (* 2 (sin y))))) |
(+ (* x (cos y)) (* z (- (+ (sin y) (* z (- (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* z (- (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (+ (* 2 (/ (* (sin y) (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (+ (* 2 (/ (* (sin y) (- (sin y) (* 2 (sin y)))) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y)))) (/ (* (pow (sin y) 2) (- (sin y) (* 2 (sin y)))) (* (pow x 2) (pow (cos y) 2))))))) (+ (* 2 (/ (* (sin y) (- (sin y) (* 2 (sin y)))) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y))))))) (* 2 (sin y))))) |
(+ (* 2 (* x (* z (* (cos y) (sin y))))) (* (pow x 2) (pow (cos y) 2))) |
(+ (* z (+ (* 2 (* x (* (cos y) (sin y)))) (* z (pow (sin y) 2)))) (* (pow x 2) (pow (cos y) 2))) |
(* (pow z 2) (+ (* x (* (cos y) (pow (sin y) 2))) (* z (pow (sin y) 3)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) 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 (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(/ (- (* -2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z) |
(/ (- (+ (* -2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))) z) |
(/ (- (+ (* -2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (pow (sin y) 2))) (+ (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))))) (sin y)) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) (pow z 3))))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* (pow z 2) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))) z) |
(* (pow z 3) (- (* -1 (/ (* x (* (cos y) (pow (sin y) 2))) z)) (pow (sin y) 3))) |
(* (pow z 3) (- (/ (* (pow x 2) (* (pow (cos y) 2) (sin y))) (pow z 2)) (+ (/ (* x (* (cos y) (pow (sin y) 2))) z) (pow (sin y) 3)))) |
(* (pow z 3) (- (+ (/ (* (pow x 2) (* (pow (cos y) 2) (sin y))) (pow z 2)) (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (+ (/ (* x (* (cos y) (pow (sin y) 2))) z) (pow (sin y) 3)))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))) (* -2 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (+ (* -2 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* 2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (* (pow z 2) (sin y)))))))) |
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2)))))) (+ (* -2 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (* 2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (* (pow z 2) (sin y)))) (+ (* 2 (/ (* x (* (cos y) (- (/ (* (pow x 2) (pow (cos y) 2)) (sin y)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* 2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))))))) (* (pow z 3) (sin y)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (* (pow z 3) (pow (sin y) 2))))))))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (pow (sin y) 2))) |
(* (pow z 2) (+ (* 2 (/ (* x (* (cos y) (sin y))) z)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 3) (+ (/ (* x (* (cos y) (pow (sin y) 2))) z) (pow (sin y) 3))) |
(* z (+ (* (pow x 2) (* (pow (cos y) 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos 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 (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)) (+ (* -1 (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) z))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)) (+ (* -1 (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))))) (* z (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (* z (pow (sin y) 2)))) (+ (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)) (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))))) (+ (* -1 (/ (* x (* (cos y) (- (* -2 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))))) z))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* (pow z 3) (- (/ (* x (* (cos y) (pow (sin y) 2))) z) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (sin y))) z) (* x (* (cos y) (pow (sin y) 2)))) z)) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) z))) z)) (* x (* (cos y) (pow (sin y) 2)))) z)) (* -1 (pow (sin y) 3))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (* x (cos y))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z))) (* -2 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (* x (cos y))) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 2)) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (pow (sin y) 2)))) z))) (+ (* -2 (/ (* x (* (cos y) (- (* -1 (* x (cos y))) (* -2 (* x (cos y)))))) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z))) (* -2 (* x (cos y)))) z))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -2 (* x (* (cos y) (sin y)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) z))) z)) (pow (sin y) 2))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* x (* (cos y) (pow (sin y) 2))) z)) (* -1 (pow (sin y) 3))))) |
(* -1 (* z (+ (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) z))))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ -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)))) |
(fma.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) 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 (-.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) x (neg.f64 (/.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 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(- (* x (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(- (* x (- (+ (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (+ (/ (* (cos y) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 (neg.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)))) (fma.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) z) (/.f64 (cos.f64 y) (sin.f64 y)) (/.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 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(- (* x (- (+ (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (pow (cos y) 2) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* (pow z 2) (pow (sin y) 2)))) (+ (/ (* (cos y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))) (+ (/ (* (cos y) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (* z (sin y))) (/ (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) (- (* -2 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (* z (sin y))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (-.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.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)))) (fma.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) z) (/.f64 (cos.f64 y) (sin.f64 y)) (/.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)))))) z) (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) x (/.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)))))) (fma.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) z) (/.f64 (cos.f64 y) (sin.f64 y)) (/.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 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(- (* -1 (* x (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (*.f64 z z)) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) |
(- (* x (- (* x (* z (* (pow (cos y) 2) (sin y)))) (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (*.f64 z z))) x (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) |
(- (* x (- (* x (+ (* x (pow (cos y) 3)) (* z (* (pow (cos y) 2) (sin y))))) (* (pow z 2) (* (cos y) (pow (sin y) 2))))) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (*.f64 z z))) x (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (cos y)) (* -2 (cos y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (- (+ (* -1 (cos y)) (* x (- (/ (pow (cos y) 2) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y)))))))) (* -2 (cos y))))) |
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(+ (* -1 (* z (sin y))) (* x (- (+ (* -1 (cos y)) (* x (- (+ (* x (- (/ (pow (cos y) 3) (* (pow z 2) (pow (sin y) 2))) (+ (* 2 (/ (* (cos y) (- (/ (pow (cos y) 2) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y))))))) (* z (sin y)))) (/ (* (pow (cos y) 2) (- (* -1 (cos y)) (* -2 (cos y)))) (* (pow z 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* z (sin y)))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (* 2 (/ (* (cos y) (- (* -1 (cos y)) (* -2 (cos y)))) (* z (sin y)))))))) (* -2 (cos y))))) |
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(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) z)) (*.f64 z z)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (* x (* (cos y) (pow (sin y) 2))) z)) (* -1 (pow (sin y) 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(* -1 (* z (+ (* -1 (* (pow x 2) (* (pow (cos y) 2) (sin y)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) z))))) |
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (sin.f64 y))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 328 |
| 0 | 68 | 228 |
| 1 | 280 | 218 |
| 2 | 1957 | 218 |
| 0 | 8617 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (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 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(/.f64 (-.f64 (*.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 (*.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 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) |
(*.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))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 x (cos.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 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #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 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))) |
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -2 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) x) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 x (cos.f64 y)) (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 x (cos.f64 y))) #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) x) (cos.f64 y) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (cos.f64 y)) x (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (*.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) z (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 x (cos.f64 y))) #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (cos.f64 y))) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (sin.f64 y) z)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64) (log.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y))) |
Compiled 66 621 to 5 295 computations (92.1% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 208 | 24 | 1 232 |
| Fresh | 7 | 4 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 219 | 30 | 1 249 |
| Status | Accuracy | Program |
|---|---|---|
| 79.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 51.5% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 57.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 74.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| ▶ | 23.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 32.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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))) x))) | |
| 41.0% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (neg.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)))) z))) | |
| 58.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 32.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 z x) (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 62.1% | (-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) | |
| 46.6% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) | |
| ✓ | 79.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 46.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| 47.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) | |
| 46.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 88.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) | |
| ▶ | 89.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
| ▶ | 43.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 89.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) | |
| 51.8% | #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 46.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 49.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) | |
| 37.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ▶ | 13.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| ▶ | 44.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
Compiled 1 554 to 1 054 computations (32.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) | |
| cost-diff | 5 | (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) | |
| cost-diff | 4 | (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) | |
| cost-diff | 2 | (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 460 |
| 0 | 92 | 446 |
| 1 | 170 | 438 |
| 2 | 358 | 416 |
| 3 | 1019 | 416 |
| 4 | 3296 | 392 |
| 5 | 7011 | 392 |
| 0 | 8378 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
(-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) |
(cos.f64 y) |
y |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
y |
(/.f64 z x) |
z |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(literal -1/3 binary64) |
(*.f64 z z) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 y y) |
(fma.f64 z z (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))) |
(*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(cos.f64 y) |
y |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(neg.f64 y) |
y |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (neg.f64 y) z x))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))) |
#s(approx (- x (* z y)) (fma.f64 (neg.f64 y) z x)) |
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) z x) |
(neg.f64 x) |
x |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
y |
(/.f64 z x) |
z |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (neg.f64 x) x)))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (neg.f64 x) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (fma.f64 x x (*.f64 z z)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 x x (*.f64 z z))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.f64 z z) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 x x) |
(*.f64 y y) |
(fma.f64 z z (*.f64 x x)) |
(fma.f64 x x (*.f64 z z)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 10.185963216897735 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) | |
| accuracy | 27.084069855584602 | (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) | |
| accuracy | 27.774645389358913 | #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) | |
| accuracy | 27.87458576444058 | (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.125 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 36.17466223682226 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))) | |
| accuracy | 1.5000661872347656 | (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) | |
| accuracy | 6.160325849067444 | (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) | |
| accuracy | 32.63447064113299 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 31.311612849450626 | #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 32.63447064113299 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.00390625 | (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) | |
| accuracy | 0.125 | (*.f64 (sin.f64 y) z) | |
| accuracy | 3.196780255912704 | (/.f64 (*.f64 (sin.f64 y) z) x) | |
| accuracy | 6.428187937131308 | (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
| 142.0ms | 256× | 0 | valid |
Compiled 326 to 50 computations (84.7% saved)
ival-mult: 69.0ms (57.8% of total)ival-div: 8.0ms (6.7% of total)ival-sin: 7.0ms (5.9% of total)ival-pow: 7.0ms (5.9% of total)ival-add: 6.0ms (5% of total)ival-sub: 5.0ms (4.2% of total)ival-cos: 5.0ms (4.2% of total)const: 4.0ms (3.3% of total)ival-pow2: 4.0ms (3.3% of total)ival-neg: 3.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
(-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))) |
(neg.f64 x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
(sin.f64 y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (sin.f64 y) z) |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (- (* x (cos y)) (* z (sin y))) x) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(+ x (* -1 (* y z))) |
(* -1 x) |
(+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* -1/3 (* (pow y 2) (pow z 2))) (+ (* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) (pow z 2))) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(+ (* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))) |
(* -1/3 (pow z 2)) |
(+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2))) |
(/ (* z (sin y)) x) |
(/ (* y z) x) |
(/ (+ (* -1 x) (* y z)) x) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow x 2) (+ 1 (+ (* -1/3 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1/3 (pow y 2)) (/ (pow z 2) (pow x 2)))))) |
(* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) |
(* (pow x 2) (- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (pow x 2))) 1)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -1/3 (/ (pow z 2) (pow x 2))) 1/3)) |
-1 |
(- (/ (* y z) x) 1) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 y) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
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)))) |
(+ (pow x 2) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (pow x 2) (pow z 2)))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2))))) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(- (cos y) (/ (* z (sin y)) x)) |
(* y (- (/ x y) z)) |
(* y (+ (* -1 z) (/ x y))) |
(sin y) |
(* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) |
(* (pow y 2) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(* (pow y 4) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) |
(* (pow y 4) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))) |
(* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))))) |
(* z (sin y)) |
(* y (- (/ z x) (/ 1 y))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y)))) |
(* -1 z) |
(+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* -1/3 (* (pow x 2) (pow y 2))) (+ (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))) |
(+ (* -1 (pow x 2)) (+ (* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(* z (+ (* -1 y) (/ x z))) |
(* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow z 2) (+ 1 (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1/3 (pow y 2)) (/ (pow x 2) (pow z 2)))))) |
(* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) (pow z 2))))) |
(* (pow z 2) (- (* -1/3 (/ (pow x 2) (pow z 2))) 1/3)) |
(* z (- (/ y x) (/ 1 z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | ((* (- (cos y) (/ (* (sin y) z) x)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (/ (* (sin y) z) x)) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (neg x) (+ (* y (/ z x)) -1)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (neg x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (/ (* (sin y) z) x) (* (sin y) z) (+ (* y (/ z x)) -1) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) |
| 15.0ms | z | @ | -inf | ((* (- (cos y) (/ (* (sin y) z) x)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (/ (* (sin y) z) x)) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (neg x) (+ (* y (/ z x)) -1)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (neg x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (/ (* (sin y) z) x) (* (sin y) z) (+ (* y (/ z x)) -1) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) |
| 5.0ms | y | @ | inf | ((* (- (cos y) (/ (* (sin y) z) x)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (/ (* (sin y) z) x)) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (neg x) (+ (* y (/ z x)) -1)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (neg x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (/ (* (sin y) z) x) (* (sin y) z) (+ (* y (/ z x)) -1) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) |
| 5.0ms | y | @ | -inf | ((* (- (cos y) (/ (* (sin y) z) x)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (/ (* (sin y) z) x)) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (neg x) (+ (* y (/ z x)) -1)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (neg x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (/ (* (sin y) z) x) (* (sin y) z) (+ (* y (/ z x)) -1) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) |
| 4.0ms | z | @ | inf | ((* (- (cos y) (/ (* (sin y) z) x)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (/ (* (sin y) z) x)) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (neg x) (+ (* y (/ z x)) -1)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (neg x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (neg z) (sin y)) (neg z) (sin y) (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (+ (* (+ (* (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (* y y)) (+ (* z z) (* x x))) (* y y)) (* (neg x) x)) (+ (* -1/3 (* z z)) (* -1/3 (* x x))) (/ (* (sin y) z) x) (* (sin y) z) (+ (* y (/ z x)) -1) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 2479 |
| 1 | 1730 | 2371 |
| 2 | 5945 | 2322 |
| 0 | 8478 | 2167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (/ (* z (sin y)) x)) |
(/ (- (* x (cos y)) (* z (sin y))) x) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(+ x (* -1 (* y z))) |
(* -1 x) |
(+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)) |
(+ (* -1/3 (* (pow y 2) (pow z 2))) (+ (* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) (pow z 2))) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(+ (* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))) |
(* -1/3 (pow z 2)) |
(+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2))) |
(/ (* z (sin y)) x) |
(/ (* y z) x) |
(/ (+ (* -1 x) (* y z)) x) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow x 2) (+ 1 (+ (* -1/3 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1/3 (pow y 2)) (/ (pow z 2) (pow x 2)))))) |
(* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) |
(* (pow x 2) (- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (pow x 2))) 1)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* -1/3 (/ (pow z 2) (pow x 2))) 1/3)) |
-1 |
(- (/ (* y z) x) 1) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 y) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
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)))) |
(+ (pow x 2) (pow z 2)) |
(+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (pow x 2) (pow z 2)))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2))))) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(/ 1 x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(- (cos y) (/ (* z (sin y)) x)) |
(* y (- (/ x y) z)) |
(* y (+ (* -1 z) (/ x y))) |
(sin y) |
(* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) |
(* (pow y 2) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(* (pow y 4) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) |
(* (pow y 4) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))) |
(* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))))) |
(* z (sin y)) |
(* y (- (/ z x) (/ 1 y))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y)))) |
(* -1 z) |
(+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)) |
(+ (* -1/3 (* (pow x 2) (pow y 2))) (+ (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))) |
(+ (* -1 (pow x 2)) (+ (* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(* z (+ (* -1 y) (/ x z))) |
(* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow z 2) (+ 1 (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1/3 (pow y 2)) (/ (pow x 2) (pow z 2)))))) |
(* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) (pow z 2))))) |
(* (pow z 2) (- (* -1/3 (/ (pow x 2) (pow z 2))) 1/3)) |
(* z (- (/ y x) (/ 1 z))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z)))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (- (* x (cos y)) (* z (sin y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(- x (* y z)) |
(-.f64 x (*.f64 z y)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) z) z) |
(+ (* -1/3 (* (pow y 2) (pow z 2))) (+ (* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) (pow z 2))) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y) (fma.f64 x x (*.f64 z z))) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z)) |
(+ (* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x))) |
(* -1/3 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2))) |
(*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) |
(/ (* z (sin y)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (+ (* -1 x) (* y z)) x) |
(fma.f64 (/.f64 y x) z #s(literal -1 binary64)) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ -1 (* z (sin y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (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 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 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 (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))) x (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 (/.f64 (*.f64 z y) x) (neg.f64 x) x) |
(* (pow x 2) (+ 1 (* -1/3 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* -1/3 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ (* -1/3 (pow y 2)) (/ (pow z 2) (pow x 2)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 y y) x) (*.f64 z (/.f64 z x)) (*.f64 y y)) (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) 1)) |
(*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (pow x 2))) 1)) |
(*.f64 (fma.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) z) z) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(* (pow x 2) (- (* -1/3 (/ (pow z 2) (pow x 2))) 1/3)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 y x) z #s(literal -1 binary64)) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) 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)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (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)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (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))))) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 (/.f64 (*.f64 z y) x) (neg.f64 x) x) |
(* -1 (/ (- (* -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))) x) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) x)) (/ 1 (cos y))) 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 (/ (- (* -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 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.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)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(fma.f64 (neg.f64 y) (/.f64 z x) #s(literal 1 binary64)) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (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)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) y) |
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) |
(+ (pow x 2) (pow z 2)) |
(fma.f64 x x (*.f64 z z)) |
(+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2))) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y) (fma.f64 x x (*.f64 z z))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) x)) (fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 z (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (fma.f64 x x (*.f64 z z)) x)) (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y (/.f64 (fma.f64 x x (*.f64 z z)) x))) y (neg.f64 z)) y x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (pow x 2) (pow z 2)))) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) y (*.f64 (neg.f64 x) x)) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x))) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(*.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (/.f64 z x)) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 z x))) (/.f64 (*.f64 z y) x)) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (/.f64 z x))) y) y (*.f64 #s(literal -1/6 binary64) (/.f64 z x))) (/.f64 (*.f64 z y) x)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.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)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) y) y (*.f64 (neg.f64 x) x)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x))) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2/45 binary64) (fma.f64 x x (*.f64 z z))) y) y (*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64))) (*.f64 y y) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 (/.f64 z x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 z x) (*.f64 (fma.f64 x x (*.f64 z z)) (/.f64 z (pow.f64 x #s(literal 4 binary64))))) y (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 (/.f64 z x) x)) y (/.f64 #s(literal 1 binary64) x)) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* y (- (/ x y) z)) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(sin y) |
(sin.f64 y) |
(* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64) (fma.f64 (/.f64 z y) (/.f64 z y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 y y)) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(* (pow y 4) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z))) |
(* (pow y 4) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64) (fma.f64 (/.f64 z y) (/.f64 z y) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow y 2))))))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64) (fma.f64 (/.f64 z y) (/.f64 z y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* y (- (/ z x) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y)))) |
(fma.f64 (/.f64 y x) z #s(literal -1 binary64)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) x) |
(+ (* -1/3 (* (pow x 2) (pow y 2))) (+ (* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2))) |
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z z)) #s(literal -1/3 binary64)) (*.f64 y y) (fma.f64 x x (*.f64 z z))) |
(+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))) |
(*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x)) |
(+ (* -1 (pow x 2)) (+ (* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z) (*.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) (*.f64 x x))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* (pow z 2) (+ 1 (* -1/3 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) z) z) |
(* (pow z 2) (+ 1 (+ (* -1/3 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* -1/3 (pow y 2)) (/ (pow x 2) (pow z 2)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x) (*.f64 y y)) (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal 1 binary64))) (*.f64 z z)) |
(* (pow y 2) (* (pow z 2) (+ 1 (* -1/3 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (/ (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) (pow z 2))))) |
(*.f64 (-.f64 (fma.f64 y y (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y))) (*.f64 z z)))) (*.f64 (/.f64 x z) (/.f64 x z))) (*.f64 z z)) |
(* (pow z 2) (- (* -1/3 (/ (pow x 2) (pow z 2))) 1/3)) |
(*.f64 (*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (*.f64 z z)) |
(* z (- (/ y x) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z 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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.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 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(/.f64 (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 (/.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 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 x (/.f64 x z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z)))) |
(fma.f64 (/.f64 y x) z #s(literal -1 binary64)) |
(* -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 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 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) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 388 |
| 0 | 92 | 370 |
| 1 | 360 | 364 |
| 2 | 2565 | 364 |
| 0 | 8253 | 362 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
(-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))) |
(neg.f64 x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
(sin.f64 y) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(*.f64 (sin.f64 y) z) |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
| Outputs |
|---|
(*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) x) |
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(fma.f64 x (cos.f64 y) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(fma.f64 x (cos.f64 y) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(fma.f64 (cos.f64 y) x (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(fma.f64 (cos.f64 y) x (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) x)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)) |
(fma.f64 (*.f64 z (sin.f64 y)) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))) (/.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)) |
(+.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x) (cos.f64 y)) |
(+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(*.f64 (neg.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(neg.f64 (*.f64 z y)) |
(-.f64 #s(literal 0 binary64) (*.f64 z y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) x)) |
(*.f64 x (neg.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z x) (neg.f64 y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z x) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 (/.f64 z x) y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) (*.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z x) (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z x) (neg.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 (/.f64 z x) y)) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z x)) (*.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 z x)) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (/.f64 z x) (neg.f64 y)) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (/.f64 z x) y) (neg.f64 x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
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(+.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) y)) |
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(/.f64 (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 #s(literal 1 binary64) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(neg.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))))) |
(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (/.f64 (*.f64 x (cos.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (/.f64 (*.f64 x (cos.f64 y)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (fma.f64 x x (*.f64 z z)) (fma.f64 x x (*.f64 z z))) (*.f64 y y) (*.f64 (neg.f64 x) x)))))) |
Compiled 39 138 to 3 247 computations (91.7% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 629 | 20 | 649 |
| Fresh | 10 | 13 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 641 | 38 | 679 |
| Status | Accuracy | Program |
|---|---|---|
| 79.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 51.5% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 57.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 32.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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))) x))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 35.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
| 43.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 79.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 46.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| 47.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) | |
| 46.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 74.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) | |
| ▶ | 87.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
| 88.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) | |
| 21.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y))) | |
| ▶ | 89.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
| ✓ | 43.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 42.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| 33.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 58.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) | |
| ▶ | 38.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
| 46.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) | |
| 13.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)))) | |
| 13.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 55.9% | #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 49.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| ▶ | 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
| 28.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) | |
| 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) | |
| 37.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ✓ | 13.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 47.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) | |
| ✓ | 44.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
| 44.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) | |
| 46.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
Compiled 2 055 to 1 406 computations (31.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x) | |
| cost-diff | 0 | (/.f64 (/.f64 z x) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) x) | |
| cost-diff | 4 | (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) | |
| cost-diff | 2 | (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) | |
| cost-diff | 2 | (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 359 |
| 0 | 81 | 354 |
| 1 | 154 | 342 |
| 2 | 398 | 326 |
| 3 | 1111 | 304 |
| 4 | 2376 | 280 |
| 5 | 4741 | 280 |
| 6 | 6561 | 280 |
| 0 | 8049 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x) |
(-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) |
(cos.f64 y) |
y |
(*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
z |
(*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(sin.f64 y) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x) |
#s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
#s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(/.f64 z x) |
z |
x |
(*.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
(*.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 z x) x) |
(/.f64 z x) |
z |
x |
y |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 (/.f64 z x)) |
(/.f64 z x) |
z |
x |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) |
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
z |
(*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x) |
#s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 y (neg.f64 z) x))) |
#s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))) |
#s(approx (- x (* z y)) (fma.f64 y (neg.f64 z) x)) |
(fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (neg.f64 z) x) |
(/.f64 z x) |
z |
x |
(*.f64 y (neg.f64 x)) |
(*.f64 (neg.f64 x) y) |
y |
(neg.f64 x) |
(*.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (pow.f64 x #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (/.f64 z x) x) y (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 z x) x) |
(/.f64 z x) |
z |
x |
y |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 (/.f64 z x)) |
(/.f64 (neg.f64 z) x) |
(/.f64 z x) |
z |
x |
(cos.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) | |
| accuracy | 1.4922536872347656 | (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) | |
| accuracy | 6.428187937131308 | (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 z x) x) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 3.000047413878587 | (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 39.82763571373295 | #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))) | |
| accuracy | 10.597863359235056 | (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) | |
| accuracy | 32.63447064113299 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0 | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) | |
| accuracy | 6.428187937131308 | (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x) | |
| accuracy | 39.4770793690035 | #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) | |
| accuracy | 0.254570019536884 | (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.8219610381974543 | (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) | |
| accuracy | 6.428187937131308 | (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x) |
| 111.0ms | 256× | 0 | valid |
Compiled 269 to 49 computations (81.8% saved)
ival-mult: 26.0ms (28.7% of total)ival-div: 14.0ms (15.5% of total)ival-add: 13.0ms (14.4% of total)ival-pow: 11.0ms (12.2% of total)ival-sin: 7.0ms (7.7% of total)ival-sub: 6.0ms (6.6% of total)ival-cos: 5.0ms (5.5% of total)ival-neg: 4.0ms (4.4% of total)ival-pow2: 4.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x) |
(*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
(-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x) |
#s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
#s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 z x) x) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
(fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) |
(sin.f64 y) |
(*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
(neg.f64 x) |
(cos.f64 y) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ (sin y) x) |
(* -1 (/ (* z (sin y)) x)) |
(/ (- (* x (cos y)) (* z (sin y))) x) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
x |
(- (* x (cos y)) (* z (sin y))) |
(- x (* y z)) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(/ (* y z) (pow x 2)) |
(/ (+ x (* y z)) (pow x 2)) |
(/ z (pow x 2)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (* z (sin y)) x) |
(* -1 x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ (* y z) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
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)))) |
(/ (* y z) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(- (cos y) (/ (* z (sin y)) x)) |
(* y (+ (* -1 z) (/ x y))) |
(* y (- (/ x y) z)) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(* y (+ (/ 1 (* x y)) (/ z (pow x 2)))) |
(sin y) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y))))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* z (+ (/ 1 (* x z)) (/ y (pow x 2)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | -inf | ((* (- (cos y) (* z (* (sin y) (pow x -1)))) x) (* (sin y) (pow x -1)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (* z (* (sin y) (pow x -1)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (- (cos y) (/ (* (sin y) z) x)) x) (- (cos y) (/ (* (sin y) z) x)) (+ (* (/ z x) (* y (neg x))) (* 1 x)) (* 1 x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (+ (* (/ (/ z x) x) y) (/ 1 x)) (/ (/ z x) x) (* (+ (* (sin y) (neg (/ z x))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (neg (/ z x))) (cos y)) (sin y) (* z (* (sin y) (pow x -1))) (neg x) (cos y)) |
| 8.0ms | z | @ | 0 | ((* (- (cos y) (* z (* (sin y) (pow x -1)))) x) (* (sin y) (pow x -1)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (* z (* (sin y) (pow x -1)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (- (cos y) (/ (* (sin y) z) x)) x) (- (cos y) (/ (* (sin y) z) x)) (+ (* (/ z x) (* y (neg x))) (* 1 x)) (* 1 x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (+ (* (/ (/ z x) x) y) (/ 1 x)) (/ (/ z x) x) (* (+ (* (sin y) (neg (/ z x))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (neg (/ z x))) (cos y)) (sin y) (* z (* (sin y) (pow x -1))) (neg x) (cos y)) |
| 4.0ms | y | @ | inf | ((* (- (cos y) (* z (* (sin y) (pow x -1)))) x) (* (sin y) (pow x -1)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (* z (* (sin y) (pow x -1)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (- (cos y) (/ (* (sin y) z) x)) x) (- (cos y) (/ (* (sin y) z) x)) (+ (* (/ z x) (* y (neg x))) (* 1 x)) (* 1 x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (+ (* (/ (/ z x) x) y) (/ 1 x)) (/ (/ z x) x) (* (+ (* (sin y) (neg (/ z x))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (neg (/ z x))) (cos y)) (sin y) (* z (* (sin y) (pow x -1))) (neg x) (cos y)) |
| 4.0ms | x | @ | -inf | ((* (- (cos y) (* z (* (sin y) (pow x -1)))) x) (* (sin y) (pow x -1)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (* z (* (sin y) (pow x -1)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (- (cos y) (/ (* (sin y) z) x)) x) (- (cos y) (/ (* (sin y) z) x)) (+ (* (/ z x) (* y (neg x))) (* 1 x)) (* 1 x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (+ (* (/ (/ z x) x) y) (/ 1 x)) (/ (/ z x) x) (* (+ (* (sin y) (neg (/ z x))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (neg (/ z x))) (cos y)) (sin y) (* z (* (sin y) (pow x -1))) (neg x) (cos y)) |
| 3.0ms | z | @ | -inf | ((* (- (cos y) (* z (* (sin y) (pow x -1)))) x) (* (sin y) (pow x -1)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (- (cos y) (* z (* (sin y) (pow x -1)))) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (* (- (cos y) (/ (* (sin y) z) x)) x) (- (cos y) (/ (* (sin y) z) x)) (+ (* (/ z x) (* y (neg x))) (* 1 x)) (* 1 x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (+ (* (/ (/ z x) x) y) (/ 1 x)) (/ (/ z x) x) (* (+ (* (sin y) (neg (/ z x))) (cos y)) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (+ (* (sin y) (neg (/ z x))) (cos y)) (sin y) (* z (* (sin y) (pow x -1))) (neg x) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 1686 |
| 1 | 1381 | 1647 |
| 2 | 4415 | 1583 |
| 0 | 8275 | 1496 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ (sin y) x) |
(* -1 (/ (* z (sin y)) x)) |
(/ (- (* x (cos y)) (* z (sin y))) x) |
(* -1 (* y z)) |
(+ x (* -1 (* y z))) |
x |
(- (* x (cos y)) (* z (sin y))) |
(- x (* y z)) |
(/ -1 (* z (sin y))) |
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 1 (* z (sin y)))) |
(/ (* y z) (pow x 2)) |
(/ (+ x (* y z)) (pow x 2)) |
(/ z (pow x 2)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/ (* z (sin y)) x) |
(* -1 x) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(cos y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(/ 1 (* x (cos y))) |
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x) |
(/ (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/ 1 x) |
(/ (+ 1 (/ (* y z) x)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x)) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(/ y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
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)))) |
(/ (* y z) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(- (cos y) (/ (* z (sin y)) x)) |
(* y (+ (* -1 z) (/ x y))) |
(* y (- (/ x y) z)) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(* y (+ (/ 1 (* x y)) (/ z (pow x 2)))) |
(sin y) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y))))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ x z) y)) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(* z (+ (/ 1 (* x z)) (/ y (pow x 2)))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (/ (* z (sin y)) x)) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)) |
(/ (- (* x (cos y)) (* z (sin y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
x |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- x (* y z)) |
(-.f64 x (*.f64 z y)) |
(/ -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 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))))) (/ 1 (* z (sin y)))) |
(fma.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (cos.f64 y) z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(- (* x (+ (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))) (* 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))))))) (/ 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 (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z z))) x (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(/ (* y z) (pow x 2)) |
(*.f64 (/.f64 y (*.f64 x x)) z) |
(/ (+ x (* y z)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 z y x) x) x) |
(/ z (pow x 2)) |
(/.f64 z (*.f64 x x)) |
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) x) |
(/ (* z (sin y)) x) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (* -1 (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) 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)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))) x) |
(/.f64 (fma.f64 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (/.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))))) (* -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 z (fma.f64 z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 x x)) (/.f64 (/.f64 (sin.f64 y) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ (* y z) x)) x) |
(/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* -1 (/ (- (* -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))) x) |
(* -1 (/ (- (* -1 (/ (+ (/ (* z (sin y)) (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) 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))) (/.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 (/ (- (* -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 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.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))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) x) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 y x)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y z) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) |
(+ 1 (* y (- (* -1/2 y) (/ z x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 z x))) (/.f64 (fma.f64 x x (*.f64 z z)) x)) y (neg.f64 z)) y x) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 z x))) (fma.f64 (*.f64 z (+.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 z x))) (/.f64 (fma.f64 x x (*.f64 z z)) x)) x))) y (/.f64 (fma.f64 x x (*.f64 z z)) x))) y (neg.f64 z)) y x) |
(+ (/ 1 x) (/ (* y z) (pow x 2))) |
(fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* -1 (* y (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) y (/.f64 z (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (+ (* y (- (* y (- (* -1/6 (/ z (pow x 2))) (* -1 (/ (* z (- (pow z 2) (* -1 (pow x 2)))) (pow x 4))))) (+ (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) (pow x 3))) (* 1/2 (/ 1 x))))) (/ z (pow x 2)))) (/ 1 x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z (+.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) y (-.f64 (/.f64 (fma.f64 x x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) y (/.f64 z (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* -1/2 y)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) 1/2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)) |
y |
(* 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) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x)) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 z x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (/.f64 (*.f64 z y) x)) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 z x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (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)) |
(* x (- (cos y) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x) |
(- (cos y) (/ (* z (sin y)) x)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(* y (+ (* -1 z) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* y (- (/ x y) z)) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(/ (- (* -1 (* z (sin y))) (* x (cos y))) (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) |
(* y (+ (/ 1 (* x y)) (/ z (pow x 2)))) |
(fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y)) |
(sin y) |
(sin.f64 y) |
(* -1 (* y (+ z (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 x y) z) y) |
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y))))) |
(fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y)) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (+ (/ (sin y) (* (pow x 2) (pow (cos y) 2))) (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))))) (/ 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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* 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)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (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 (/.f64 (/.f64 (sin.f64 y) x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (cos y) z) (/ (sin y) x))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(/ (- (* -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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) (/ 1 (sin y))) z) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z z)) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) |
(/ (- (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))) z) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 x (fma.f64 x (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z z)) (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) z) |
(* z (+ (/ 1 (* x z)) (/ y (pow x 2)))) |
(fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 z (*.f64 x z))) |
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) z))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
(* -1 (* z (+ y (* -1 (/ x z))))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (/ (+ (/ 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 (/ (* x (cos y)) (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))))) z)) (/ 1 (sin y))) z)) |
(/.f64 (fma.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))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (* -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))) z)) (/ 1 (sin y))) z)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x (/.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))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) z)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z) |
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z))))) |
(fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 z (*.f64 x z))) |
(* -1 (* z (+ (* -1 (/ (cos y) z)) (/ (sin y) x)))) |
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 315 |
| 0 | 81 | 290 |
| 1 | 343 | 256 |
| 2 | 2391 | 256 |
| 0 | 8538 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x) |
(*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
(-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x) |
#s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
#s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 z x) x) |
(*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
(fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) |
(sin.f64 y) |
(*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
(neg.f64 x) |
(cos.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
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(fma.f64 (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) x (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)))) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)))) |
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(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) x)) |
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(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (cos.f64 y)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) z) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) |
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)))) |
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(-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) |
(+.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (cos.f64 y) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (cos.f64 y)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) |
(fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) z) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (cos.f64 y)) |
(fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)) (cos.f64 y)) |
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) x) z) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) |
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) x) z) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(-.f64 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)) |
(+.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y)) (cos.f64 y)) |
(+.f64 (cos.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 z x)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 z x)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 z x) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z x) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 z x) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) x) z)) |
(*.f64 (/.f64 (sin.f64 y) x) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) x) z) |
(*.f64 (sin.f64 y) (/.f64 z x)) |
(*.f64 z (/.f64 (sin.f64 y) x)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (sin.f64 y) z) x) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 y) z))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sin.f64 y) z)))) |
(/.f64 (sin.f64 y) (/.f64 x z)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 z) x) (sin.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) x) z))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(pow.f64 (cos.f64 y) #s(literal 1 binary64)) |
(cos.f64 y) |
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) |
Compiled 20 605 to 2 385 computations (88.4% saved)
43 alts after pruning (35 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 522 | 9 | 531 |
| Fresh | 2 | 26 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 526 | 43 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| 79.8% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 51.5% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 57.5% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) | |
| 58.2% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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))) x))) | |
| 38.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 35.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) x)) y (/.f64 #s(literal 1 binary64) x)))) | |
| 14.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x z) x (*.f64 x y)) (*.f64 x (*.f64 (/.f64 x z) x))))) | |
| 23.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (*.f64 (/.f64 z x) y) x x) (*.f64 x x)))) | |
| 43.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 22.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y))))) | |
| 37.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 z y x) x) x)))) | |
| 3.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (*.f64 (/.f64 y (*.f64 x x)) z)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 79.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| 46.9% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| 47.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) | |
| 46.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 74.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) | |
| ✓ | 87.6% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
| 88.0% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) | |
| 21.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y))) | |
| ✓ | 89.9% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
| ✓ | 43.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 42.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) | |
| 33.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) | |
| 58.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) | |
| ✓ | 38.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
| 42.4% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) x))) | |
| 46.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) | |
| 13.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)))) | |
| 13.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 55.9% | #s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 49.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) | |
| 29.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64) (*.f64 x x)) x))) | |
| 18.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)))))) | |
| 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) | |
| 37.6% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) | |
| ✓ | 13.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 47.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) | |
| ✓ | 44.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
| 44.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) | |
| 46.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
Compiled 3 478 to 1 263 computations (63.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (*.f64 (/.f64 y (*.f64 x x)) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64) (*.f64 x x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 z y x) x) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (*.f64 (/.f64 z x) y) x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) x)) y (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x z) x (*.f64 x y)) (*.f64 x (*.f64 (/.f64 x z) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 z x) (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (sin.f64 y) (neg.f64 (/.f64 z x)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 z z) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 y y) (fma.f64 z z (*.f64 x x))) (*.f64 y y) (*.f64 (neg.f64 x) x))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (*.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))) x)) |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (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))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (neg.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)))) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
#s(approx (/ 1 (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)))) (/.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.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))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) x) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 36.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 21.0ms | x |
| 21.0ms | y |
| 19.0ms | 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (*.f64 (/.f64 y (*.f64 x x)) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64) (*.f64 x x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 z y x) x) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (*.f64 (/.f64 z x) y) x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) x)) y (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x z) x (*.f64 x y)) (*.f64 x (*.f64 (/.f64 x z) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 z x) (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
| Outputs |
|---|
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 16.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 14.0ms | x |
| 13.0ms | z |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | x |
| 81.3% | 2 | y |
| 89.2% | 3 | z |
| 79.3% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (*.f64 (/.f64 y (*.f64 x x)) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64) (*.f64 x x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 z y x) x) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (*.f64 (/.f64 z x) y) x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) x)) y (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x z) x (*.f64 x y)) (*.f64 x (*.f64 (/.f64 x z) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 z x) (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
4 calls:
| 20.0ms | y |
| 11.0ms | z |
| 11.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 3 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 79.2% | 4 | y |
| 81.2% | 3 | x |
| 76.7% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (*.f64 (/.f64 y (*.f64 x x)) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64) (*.f64 x x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 z y x) x) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (*.f64 (/.f64 z x) y) x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) x)) y (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x z) x (*.f64 x y)) (*.f64 x (*.f64 (/.f64 x z) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 z x) (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) |
3 calls:
| 11.0ms | y |
| 10.0ms | x |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 3 | z |
| 69.5% | 3 | y |
| 65.8% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) (fma.f64 z (/.f64 y x) #s(literal -1 binary64))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (- x (* z y)) (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 z x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 z x) (*.f64 y (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) #s(approx (* (- (cos y) (/ (* (sin y) z) x)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (*.f64 (/.f64 y (*.f64 x x)) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 1 binary64) (*.f64 x x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 x) #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (/.f64 (/.f64 (fma.f64 z y x) x) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (*.f64 (/.f64 z x) y) x x) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 (/.f64 z x) x) y (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) #s(approx (+ (* (/ (/ z x) x) y) (/ 1 x)) (fma.f64 (/.f64 y (*.f64 x x)) z (/.f64 (/.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) x)) y (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2))) (/.f64 (fma.f64 (/.f64 x z) x (*.f64 x y)) (*.f64 x (*.f64 (/.f64 x z) x))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) y) z)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) 2) (- (* (pow (* (cos y) x) 2) (+ (* (sin y) z) (* (cos y) x))) (* (+ (* (sin y) z) (* (cos y) x)) (pow (* (sin y) z) 2)))) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 z x) (/.f64 (neg.f64 z) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
4 calls:
| 39.0ms | x |
| 11.0ms | y |
| 9.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 49.0% | 1 | x |
| 49.0% | 1 | z |
| 49.0% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 2.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 1 | z |
| 49.0% | 1 | x |
| 49.0% | 1 | y |
| 49.0% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
4 calls:
| 4.0ms | x |
| 1.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 3 | z |
| 42.6% | 3 | x |
| 38.5% | 1 | y |
| 38.5% | 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 (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
2 calls:
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.5% | 1 | x |
| 38.5% | 1 | z |
Compiled 2 to 6 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.8506922147467904e-109 | 6.234428011638295e-102 |
| 18.0ms | -1.1737010542080599e-202 | -6.286493471589625e-206 |
| 24.0ms | 272× | 0 | valid |
Compiled 692 to 558 computations (19.4% saved)
ival-cos: 6.0ms (35.1% of total)ival-sin: 6.0ms (35.1% of total)ival-mult: 4.0ms (23.4% of total)ival-sub: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.418812093328219e-211 | 3.2600602632616276e-208 |
| 10.0ms | -1.7454226106441719e-10 | -1.2363798729066344e-10 |
| 19.0ms | 176× | 0 | valid |
Compiled 496 to 388 computations (21.8% saved)
ival-cos: 7.0ms (49% of total)ival-sin: 4.0ms (28% of total)ival-mult: 2.0ms (14% of total)ival-sub: 1.0ms (7% 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 |
|---|---|---|
| 28.0ms | 2070496.086591153 | 342615950369265600.0 |
| 32.0ms | -3.2158950392824006 | -2.2492871587186783e-5 |
| 30.0ms | 304× | 0 | valid |
Compiled 1 038 to 755 computations (27.3% saved)
ival-cos: 10.0ms (44.9% of total)ival-sin: 6.0ms (26.9% of total)ival-mult: 4.0ms (17.9% of total)ival-sub: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.000484660383656e+124 | 6.076210772800425e+126 |
| 12.0ms | -1.0515639090029538e+93 | -3.394744126396645e+92 |
| 23.0ms | 208× | 0 | valid |
Compiled 636 to 482 computations (24.2% saved)
ival-mult: 7.0ms (40.3% of total)ival-cos: 5.0ms (28.8% of total)ival-sin: 4.0ms (23% of total)ival-sub: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 284 |
| 1 | 134 | 264 |
| 2 | 185 | 264 |
| 3 | 273 | 264 |
| 4 | 402 | 264 |
| 5 | 665 | 264 |
| 6 | 4659 | 264 |
| 7 | 7584 | 264 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -1268600020513457/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)))) |
(if (<=.f64 y #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 2100000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -919999999999999993590277521723173017998675855480621025540438019933001852075473018900765999104 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 5799999999999999714539742687684042431685849239559632828391193769039178085126221732359725871159282773435610235424399081284304896 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 z #s(literal -1268600020513457/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (or (<=.f64 z #s(literal -1268600020513457/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) (not (<=.f64 z #s(literal 6972074670834653/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)))) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x))) |
(if (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)))) |
(if (or (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) (not (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(if (<=.f64 y #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 2100000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)))) |
(if (or (<=.f64 y #s(literal -1080863910568919/9007199254740992 binary64)) (not (<=.f64 y #s(literal 2100000 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -919999999999999993590277521723173017998675855480621025540438019933001852075473018900765999104 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 5799999999999999714539742687684042431685849239559632828391193769039178085126221732359725871159282773435610235424399081284304896 binary64)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))))) |
(if (or (<=.f64 z #s(literal -919999999999999993590277521723173017998675855480621025540438019933001852075473018900765999104 binary64)) (not (<=.f64 z #s(literal 5799999999999999714539742687684042431685849239559632828391193769039178085126221732359725871159282773435610235424399081284304896 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x))) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (cos y) (/ (* (sin y) z) x)) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 328 |
| 0 | 68 | 228 |
| 1 | 280 | 218 |
| 2 | 1957 | 218 |
| 0 | 8617 | 218 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1966 | 19 |
| 0 | 8307 | 19 |
| 0 | 1248 | 7839 |
| 1 | 4371 | 7638 |
| 0 | 9049 | 7369 |
| 0 | 528 | 2479 |
| 1 | 1730 | 2371 |
| 2 | 5945 | 2322 |
| 0 | 8478 | 2167 |
| 0 | 97 | 255 |
| 1 | 292 | 250 |
| 2 | 850 | 244 |
| 3 | 2094 | 238 |
| 4 | 3669 | 238 |
| 5 | 6309 | 238 |
| 0 | 8691 | 217 |
| 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 |
Compiled 523 to 276 computations (47.2% saved)
Compiled 546 to 168 computations (69.2% saved)
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