
Time bar (total: 11.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 800.0ms | 8 256× | 0 | valid |
ival-sin: 208.0ms (36.7% of total)ival-cos: 180.0ms (31.7% of total)ival-mult: 130.0ms (22.9% of total)ival-add: 39.0ms (6.9% of total)ival-true: 7.0ms (1.2% of total)ival-assert: 4.0ms (0.7% of total)| 1× | egg-herbie |
| 180× | associate-*r* |
| 160× | unsub-neg |
| 142× | associate-*l* |
| 136× | distribute-lft-neg-in |
| 110× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 63.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-sin: 14.0ms (36.6% of total)ival-cos: 12.0ms (31.4% of total)ival-mult: 9.0ms (23.6% of total)ival-add: 2.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 8× | lower-fma.f64 |
| 8× | lower-fma.f32 |
| 8× | lower-*.f32 |
| 4× | *-commutative |
| 4× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (38.3% of total)ival-cos: 5.0ms (31.9% of total)ival-mult: 3.0ms (19.2% of total)ival-add: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
| Outputs |
|---|
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | x | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | x | @ | 0 | (* x (sin y)) |
| 1.0ms | x | @ | -inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | -inf | (+ (* x (sin y)) (* z (cos y))) |
| 1× | batch-egg-rewrite |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 4 168× | lower-*.f32 |
| 4 164× | lower-*.f64 |
| 4 070× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))) |
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 x z) (cos.f64 y))) #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y)))) |
(sin.f64 y) |
(exp.f64 (log.f64 (*.f64 z (cos.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (cos.f64 y))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) |
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z))) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y)))) |
(cos.f64 y) |
| 1× | egg-herbie |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 4 718× | lower-*.f64 |
| 4 718× | lower-*.f32 |
| 2 178× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 991 | 668 |
| 3 | 2652 | 662 |
| 4 | 4669 | 662 |
| 5 | 6964 | 662 |
| 0 | 8196 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
| Outputs |
|---|
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
Compiled 10 107 to 557 computations (94.5% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 17 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 17 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 45.9% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
| 56.3% | (fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 99.7% | (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) | |
| 50.8% | (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) | |
| 51.2% | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) | |
| ▶ | 51.9% | (fma.f64 y x z) |
| 45.1% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) | |
| 17.2% | (/.f64 (-.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) | |
| 45.9% | (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 25.9% | (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| 54.8% | (+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) | |
| 53.4% | (+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) | |
| 46.7% | (*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) | |
| ▶ | 63.0% | (*.f64 z (cos.f64 y)) |
| 38.4% | (*.f64 x (sin.f64 y)) |
Compiled 1 012 to 472 computations (53.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 14400 | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (fma.f64 y x z) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 10 708× | lower-fma.f32 |
| 10 700× | lower-fma.f64 |
| 3 272× | lower-*.f32 |
| 3 260× | lower-*.f64 |
| 1 628× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 252 |
| 0 | 52 | 248 |
| 1 | 95 | 246 |
| 2 | 189 | 246 |
| 3 | 560 | 246 |
| 4 | 1798 | 245 |
| 5 | 4665 | 235 |
| 6 | 7449 | 235 |
| 0 | 8101 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(fma.f64 y x z) |
y |
x |
z |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(fma.f64 y x z) |
y |
x |
z |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (fma.f64 z (neg.f64 (fma.f64 z (cos.f64 (+.f64 y y)) z)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) |
(cos.f64 (+.f64 y y)) |
(+.f64 y y) |
y |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) |
(*.f64 z z) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 92.0% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
| ✓ | accuracy | 78.1% | (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
| ✓ | accuracy | 76.5% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 67.0% | (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 100.0% | (fma.f64 y x z) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| 62.0ms | 77× | 1 | valid |
| 61.0ms | 135× | 0 | valid |
| 54.0ms | 44× | 2 | valid |
Compiled 260 to 32 computations (87.7% saved)
ival-cos: 44.0ms (29.4% of total)ival-mult: 36.0ms (24% of total)ival-add: 28.0ms (18.7% of total)ival-sin: 16.0ms (10.7% of total)adjust: 10.0ms (6.7% of total)ival-div: 10.0ms (6.7% of total)ival-sub: 4.0ms (2.7% of total)ival-neg: 2.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (fma.f64 y x z)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))> |
#<alt (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))> |
#<alt (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))> |
#<alt (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))> |
| Outputs |
|---|
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (/ 1 (* x (sin y)))> |
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))> |
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))> |
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)> |
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))> |
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))> |
#<alt (/ 1 (* x (sin y)))> |
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)> |
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)> |
#<alt (/ 1 (* x (sin y)))> |
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt z> |
#<alt (- (* x y) (* -1 z))> |
#<alt (- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z))> |
#<alt (- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))> |
#<alt (- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))> |
#<alt (- (* x (+ (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (+ (* x (- (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (cos y) 2))))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))> |
#<alt (* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))> |
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))))))> |
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y))))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))))))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (* x (pow (sin y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow x 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow x 3) (pow (sin y) 4)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))))))))> |
#<alt (* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ (* z (cos y)) (pow (sin y) 2))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))> |
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))> |
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))> |
#<alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))> |
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))> |
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt z> |
#<alt (- (* x y) (* -1 z))> |
#<alt (- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z))> |
#<alt (- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y)))))> |
#<alt (* -1 (* (pow z 2) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))> |
#<alt (* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))> |
#<alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))> |
#<alt (* (pow z 2) (- (* z (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (sin y) 3)))))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))> |
#<alt (* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))))))> |
#<alt (* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))> |
#<alt (* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))> |
#<alt (- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))> |
#<alt (- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))))> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))> |
#<alt (/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x)> |
#<alt (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))> |
#<alt (* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x))> |
#<alt 1> |
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#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
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#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))> |
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#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (/ (pow z 2) (* x (sin y)))> |
#<alt (* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))))> |
#<alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))> |
#<alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y)))))> |
#<alt (* -1 (/ z (cos y)))> |
#<alt (* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))))> |
#<alt (* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))> |
#<alt (* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))> |
#<alt (* -1 (/ z (cos y)))> |
#<alt (* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y)))))> |
#<alt (* -1 (/ z (cos y)))> |
#<alt (+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2))))> |
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2)))))> |
#<alt (+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))))> |
#<alt (/ (pow z 2) (* x (sin y)))> |
#<alt (/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x)> |
#<alt (/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x)> |
#<alt (/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)> |
#<alt (/ (pow z 2) (* x (sin y)))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x))> |
#<alt (* -1 z)> |
#<alt (+ (* -1 z) (* -1 (* x y)))> |
#<alt (+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x)))> |
#<alt (+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x)))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow z 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (* -1 (/ (pow x 2) (* z (cos y))))> |
#<alt (* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))))> |
#<alt (* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))))> |
#<alt (* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))))> |
#<alt (/ x (sin y))> |
#<alt (* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))))> |
#<alt (* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))))> |
#<alt (* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))))> |
#<alt (/ x (sin y))> |
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y)))))> |
#<alt (* -1 (/ (pow x 2) z))> |
#<alt (+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z)))> |
#<alt (+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))> |
#<alt (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2)))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ (pow x 2) (- (* x (sin y)) (* z (cos y))))> |
#<alt (/ x (sin y))> |
#<alt (+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2)))> |
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y)))> |
#<alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y)))> |
#<alt (* -1 (/ (pow x 2) (* z (cos y))))> |
#<alt (/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z)> |
#<alt (* -1 (/ (pow x 2) (* z (cos y))))> |
#<alt (* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) |
| 5.0ms | y | @ | -inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) |
| 3.0ms | y | @ | inf | (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) |
| 3.0ms | z | @ | 0 | (+ (* (sin y) x) (* z (cos y))) |
| 2.0ms | y | @ | -inf | (/ (* z z) (- (* x (sin y)) (* z (cos y)))) |
| 1× | batch-egg-rewrite |
| 6 114× | lower-fma.f32 |
| 6 106× | lower-fma.f64 |
| 5 762× | lower-/.f32 |
| 5 754× | lower-/.f64 |
| 4 454× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 164 |
| 0 | 52 | 123 |
| 1 | 210 | 109 |
| 2 | 1579 | 109 |
| 0 | 8488 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(fma.f64 y x z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(*.f64 x (sin.f64 y)) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
| Outputs |
|---|
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 z z))) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) |
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(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) x) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (*.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))) (/.f64 x (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))) (-.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
| 1× | egg-herbie |
| 6 874× | lower-*.f64 |
| 6 874× | lower-*.f32 |
| 6 828× | lower-fma.f64 |
| 6 828× | lower-fma.f32 |
| 3 898× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1019 | 8553 |
| 1 | 3616 | 8417 |
| 0 | 8369 | 7993 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
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(/ 1 z) |
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(* z (cos y)) |
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(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
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(+ z (* x y)) |
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(+ (* x (sin y)) (* z (cos y))) |
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(* x (sin y)) |
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(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
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(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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(* x (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))) |
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(* x (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))) |
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* 1/2 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 4)))) (* 1/2 (/ (* (pow z 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4)))) x)) (* -1/2 (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3)))) (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow z 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) x)) (* 1/2 (/ (* z (cos y)) (pow (sin y) 2)))) (* 1/2 (/ (* z (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) x)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))) |
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) |
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(+ (* z (- (* z (- (* z (- (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* -1 (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 4)))))) (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y)))))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) |
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) (pow z 3))) (* 1/2 (/ 1 (cos y))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) |
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4)))) (+ (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (* 2 y)))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 y))))) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (sin y)) (* z (cos y))))) |
(* -1 (* (pow z 2) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* (pow z 2) (- (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (sin y) 3)))))))) (+ (* 1/2 (/ 1 (* x (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* x (sin y))))))) |
(* z (- (* 1/2 (/ 1 (cos y))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) z)) (* 1/2 (/ 1 (cos y)))) (* -1/2 (/ (cos (* 2 y)) (cos y))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) (pow z 2))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))))))) |
(* z (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (pow (cos y) 4)))) (pow z 3))) (* 1/2 (/ 1 (cos y)))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))) |
(* -1 (* z (- (+ (* -1/2 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (* z (pow (cos y) 2))))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* z (pow (cos y) 3)))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))))) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* z (pow (cos y) 4)))) (* -1/2 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))))) (+ (* 1/2 (/ (* (pow x 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* 1/2 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))))) z)) (+ (* -1/2 (/ (* x (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* x (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) z)) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
(- (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (/ (* x (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 3))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(- (* x (+ (* x (+ (/ (* x (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) x) |
(* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y)))) |
(* -1 (/ (- (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)) (/ (* (pow z 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) x)) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (* 2 y)))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(+ 1/2 (* 1/2 (cos (neg (* -2 y))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (pow z 2) (* x (sin y))) |
(* (pow z 2) (+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))) |
(* -1 (/ z (cos y))) |
(* z (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y)))) |
(* z (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))))) |
(* z (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))))) |
(* -1 (/ z (cos y))) |
(* -1 (* z (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))))) |
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))))) |
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))))) |
(* -1 (/ z (cos y))) |
(+ (* -1 (/ z (cos y))) (* -1 (/ (* x (sin y)) (pow (cos y) 2)))) |
(+ (* -1 (/ z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (sin y) (pow (cos y) 2))))) |
(+ (* -1 (/ z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* z (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2))))) |
(/ (pow z 2) (* x (sin y))) |
(/ (+ (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))) (/ (pow z 2) (sin y))) x) |
(/ (- (+ (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))) (/ (pow z 2) (sin y))) (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 5) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4))) (/ (pow z 2) (sin y))) (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/ (pow z 2) (* x (sin y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x)) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) |
(/ x (sin y)) |
(* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2))))) |
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))))) |
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))))) |
(/ x (sin y)) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) |
(* -1 (/ (pow x 2) z)) |
(+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/ x (sin y)) |
(+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
| Outputs |
|---|
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (*.f64 y y)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
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(/ (pow z 2) (* x (sin y))) |
(/.f64 (*.f64 z z) (*.f64 x (sin.f64 y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 3) (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (pow z 2) (sin y)))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z z) (sin.f64 y)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (*.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (*.f64 z z) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (cos y)) (pow (sin y) 2)))) x)) (* -1 (/ (pow z 2) (sin y)))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 z z) (neg.f64 (sin.f64 y))) (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (*.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (* x y))) |
(neg.f64 (fma.f64 x y z)) |
(+ (* -1 z) (* y (- (* -1 (* y (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(fma.f64 y (neg.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z)) x)) (neg.f64 z)) |
(+ (* -1 z) (* y (- (* y (- (* -1 (* y (+ (* -1/6 x) (+ (* 1/2 x) (/ (* x (+ (* 1/2 z) (/ (pow x 2) z))) z))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(fma.f64 y (-.f64 (*.f64 y (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/3 binary64) (/.f64 (*.f64 x (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z))) z)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z))))) x) (neg.f64 z)) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow z 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 z (cos.f64 y)))) |
(* (pow x 2) (- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))) |
(*.f64 (*.f64 x x) (fma.f64 x (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))) |
(* (pow x 2) (- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) |
(*.f64 (*.f64 x x) (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z))))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))) |
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(* x (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) |
(* x (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3))))))) |
(*.f64 x (-.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) |
(neg.f64 (*.f64 x (+.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (pow x 2) z)) |
(neg.f64 (/.f64 (*.f64 x x) z)) |
(+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))) |
(neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 y (*.f64 z z)) (/.f64 (*.f64 x x) z))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* -1 (* y (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(fma.f64 y (neg.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 x x) z))) |
(+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (pow x 3) (pow z 2))) (+ (* 1/2 (/ (pow x 3) (pow z 2))) (/ (* x (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3)))) z))))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))) |
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z z)) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))) z) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 z z)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z)))))) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 z z)))) (neg.f64 (/.f64 (*.f64 x x) z))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ (pow x 2) (- (* x (sin y)) (* z (cos y)))) |
(/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) |
(/ x (sin y)) |
(/.f64 x (sin.f64 y)) |
(+ (/ x (sin y)) (/ (* z (cos y)) (pow (sin y) 2))) |
(fma.f64 z (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (sin.f64 y))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (sin.f64 y))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* x (pow (sin y) 3)))))) (* -1 (/ (cos y) (pow (sin y) 2))))) (/ x (sin y))) |
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 x (sin.f64 y))) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 z (cos.f64 y)))) |
(/ (+ (* -1 (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) (* -1 (/ (pow x 2) (cos y)))) z) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))) z)) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow x 2) (cos y)))) (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2)))) z) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 (*.f64 x x) (cos.f64 y)))) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) |
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow x 2) (cos y)))) (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 4) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3))))) z) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y)))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))))) z) |
(* -1 (/ (pow x 2) (* z (cos y)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 z (cos.f64 y)))) |
(* -1 (/ (+ (/ (* (pow x 3) (sin y)) (* z (pow (cos y) 2))) (/ (pow x 2) (cos y))) z)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x x) (cos.f64 y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (sin y)) (pow (cos y) 2))) z)) (/ (pow x 2) (cos y))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z)) |
Compiled 112 719 to 3 507 computations (96.9% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 093 | 35 | 2 128 |
| Fresh | 9 | 3 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 104 | 41 | 2 145 |
| Status | Accuracy | Program |
|---|---|---|
| 70.1% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) | |
| 53.2% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (sin.f64 y)) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| 38.5% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 38.7% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| ▶ | 99.7% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 50.5% | (fma.f64 z (/.f64 (*.f64 x y) z) z) | |
| 51.2% | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) | |
| 50.8% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) | |
| ✓ | 51.9% | (fma.f64 y x z) |
| 51.9% | (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) | |
| 99.2% | (fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 50.7% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 30.7% | (/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) | |
| 32.9% | (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) | |
| ▶ | 62.8% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| 27.0% | (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)) | |
| 33.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)) | |
| 21.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) | |
| 63.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) | |
| ▶ | 30.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
| 50.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) | |
| ▶ | 51.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
| 62.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 34.5% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) | |
| 54.8% | (+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) | |
| 21.0% | (*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) | |
| 38.7% | (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 38.5% | (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 91.9% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) | |
| 62.7% | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) | |
| 38.4% | (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| ✓ | 63.0% | (*.f64 z (cos.f64 y)) |
| 40.1% | (*.f64 z #s(literal 1 binary64)) | |
| 38.3% | (*.f64 y (+.f64 x (/.f64 z y))) | |
| 87.6% | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) | |
| 46.2% | (*.f64 x (+.f64 y (/.f64 z x))) | |
| 38.4% | (*.f64 x (sin.f64 y)) | |
| ▶ | 14.7% | (*.f64 x y) |
Compiled 1 431 to 828 computations (42.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 y #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 z (*.f64 y x)) |
| ✓ | cost-diff | 256 | (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) |
| ✓ | cost-diff | 1344 | (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
| ✓ | cost-diff | 0 | (fma.f64 y x z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 6 642× | lower-fma.f32 |
| 6 636× | lower-fma.f64 |
| 3 018× | lower-*.f32 |
| 3 002× | lower-*.f64 |
| 2 046× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 161 |
| 0 | 50 | 131 |
| 1 | 88 | 130 |
| 2 | 165 | 130 |
| 3 | 383 | 130 |
| 4 | 1371 | 130 |
| 5 | 3884 | 130 |
| 6 | 7189 | 130 |
| 0 | 8093 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(*.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))) |
(-.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 z z) |
(*.f64 y (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
z |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(cos.f64 y) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y x z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(fma.f64 y x z) |
#s(literal 1 binary64) |
(/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(-.f64 z (*.f64 y x)) |
z |
(*.f64 y x) |
y |
x |
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) |
(*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) |
(*.f64 z z) |
(*.f64 y (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y x)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
z |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
y |
#s(literal -2 binary64) |
(cos.f64 y) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ✓ | accuracy | 99.4% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
| ✓ | accuracy | 95.2% | (*.f64 y (*.f64 x (*.f64 y x))) |
| ✓ | accuracy | 90.1% | (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) |
| ✓ | accuracy | 50.2% | (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))) |
| ✓ | accuracy | 100.0% | (fma.f64 y x z) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| 82.0ms | 256× | 0 | valid |
Compiled 170 to 31 computations (81.8% saved)
ival-cos: 29.0ms (45.7% of total)ival-mult: 15.0ms (23.6% of total)ival-div: 8.0ms (12.6% of total)ival-sin: 5.0ms (7.9% of total)ival-add: 4.0ms (6.3% of total)ival-sub: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 (sin.f64 y) x)> |
#<alt (sin.f64 y)> |
#<alt (*.f64 x y)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 y x z))> |
#<alt (fma.f64 y x z)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))))> |
#<alt (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))> |
#<alt (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))> |
#<alt (-.f64 z (*.f64 y x))> |
#<alt (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))> |
#<alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))> |
#<alt (*.f64 y (*.f64 x (*.f64 y x)))> |
| Outputs |
|---|
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))> |
#<alt (* z (cos y))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))> |
#<alt (* z (cos y))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (+ (* x (sin y)) (* z (cos y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))> |
#<alt (* x (sin y))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)> |
#<alt (/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y)> |
#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)> |
#<alt (/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x)> |
#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x))> |
#<alt (/ 1 (* x y))> |
#<alt (+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))> |
#<alt (+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (/ 1 z)> |
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)> |
#<alt (/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z)> |
#<alt (/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z)> |
#<alt (/ 1 z)> |
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (/ 1 (* x y))> |
#<alt (+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))> |
#<alt (+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (/ 1 z)> |
#<alt (/ (+ 1 (* -1 (/ (* x y) z))) z)> |
#<alt (/ (+ 1 (+ (* -1 (/ (* x y) z)) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) z)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) z)> |
#<alt (/ 1 z)> |
#<alt (* -1 (/ (- (/ (* x y) z) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (/ (* (pow x 2) (pow y 2)) z)) z)) 1) z))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)) z))) z)) 1) z))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* y (+ (* -1 (/ x (pow z 2))) (/ (* (pow x 2) y) (pow z 3)))) (/ 1 z))> |
#<alt (+ (* y (+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)> |
#<alt (/ (+ (* -1 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2))))) y)> |
#<alt (/ (- (+ (* -1 (/ z (* (pow x 2) y))) (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2))))) y)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow x 2))) (/ (pow z 2) (* (pow x 3) y))) y)) (/ 1 x)) y))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow x 2))) (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y))) y)) (/ 1 x)) y))> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* x (+ (* -1 (/ y (pow z 2))) (/ (* x (pow y 2)) (pow z 3)))) (/ 1 z))> |
#<alt (+ (* x (+ (* -1 (/ y (pow z 2))) (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)> |
#<alt (/ (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3))))) x)> |
#<alt (/ (- (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3))))) x)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ (pow z 2) (* x (pow y 3)))) x)) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x))) x)) (/ 1 y)) x))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (- (pow z 2) (* (pow x 2) (pow y 2)))> |
#<alt (- (pow z 2) (* (pow x 2) (pow y 2)))> |
#<alt (- (pow z 2) (* (pow x 2) (pow y 2)))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))> |
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))> |
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))> |
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))> |
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))> |
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))> |
#<alt (* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2)))> |
#<alt (pow z 2)> |
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))> |
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))> |
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))> |
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))> |
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))> |
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))> |
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2)))> |
#<alt (* -1 (* x y))> |
#<alt (- z (* x y))> |
#<alt (- z (* x y))> |
#<alt (- z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (* -1 (/ (* x y) z))))> |
#<alt (* z (+ 1 (* -1 (/ (* x y) z))))> |
#<alt (* z (+ 1 (* -1 (/ (* x y) z))))> |
#<alt z> |
#<alt (* -1 (* z (- (/ (* x y) z) 1)))> |
#<alt (* -1 (* z (- (/ (* x y) z) 1)))> |
#<alt (* -1 (* z (- (/ (* x y) z) 1)))> |
#<alt z> |
#<alt (+ z (* -1 (* x y)))> |
#<alt (+ z (* -1 (* x y)))> |
#<alt (+ z (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (/ z y) x))> |
#<alt (* y (- (/ z y) x))> |
#<alt (* y (- (/ z y) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ z y)) (* -1 x))))> |
#<alt z> |
#<alt (+ z (* -1 (* x y)))> |
#<alt (+ z (* -1 (* x y)))> |
#<alt (+ z (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (/ z x) y))> |
#<alt (* x (- (/ z x) y))> |
#<alt (* x (- (/ z x) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 y))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt z> |
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))> |
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))> |
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt z> |
#<alt (+ z (* -1 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (cos (* -2 y))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (/ 1 (/ (- z (* y x)) (- (* z z) (* y (* x (* y x)))))) |
| 3.0ms | x | @ | -inf | (/ 1 (+ (* y x) z)) |
| 2.0ms | z | @ | -inf | (- (* z z) (* y (* x (* y x)))) |
| 2.0ms | z | @ | 0 | (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
| 2.0ms | z | @ | -inf | (* z (+ (* 1/2 (cos (* y -2))) 1/2)) |
| 1× | batch-egg-rewrite |
| 7 840× | lower-fma.f32 |
| 7 834× | lower-fma.f64 |
| 4 470× | lower-*.f32 |
| 4 454× | lower-*.f64 |
| 3 924× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 128 |
| 0 | 50 | 98 |
| 1 | 185 | 94 |
| 2 | 1202 | 94 |
| 0 | 8411 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 y x z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x))))) |
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) |
(-.f64 z (*.f64 y x)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y (*.f64 x (*.f64 y x))) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) |
(fma.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (*.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (+.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) (neg.f64 z))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(cos.f64 y) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) |
(neg.f64 (neg.f64 (cos.f64 y))) |
(/.f64 (cos.f64 y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(/.f64 (neg.f64 (cos.f64 y)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y x))) |
(neg.f64 (neg.f64 (*.f64 y x))) |
(*.f64 y x) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 x y) |
(*.f64 x (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y x))) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 (neg.f64 y)) x) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 z (*.f64 y x)) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) (neg.f64 (neg.f64 z))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (neg.f64 z))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 y x) z))) |
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(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 y (*.f64 y x))))) |
(neg.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 y x))))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(*.f64 y (*.f64 y (*.f64 x x))) |
(*.f64 y (neg.f64 (*.f64 x (neg.f64 (*.f64 y x))))) |
(*.f64 x (*.f64 y (*.f64 y x))) |
(*.f64 x (*.f64 (*.f64 y x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 y x)))) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 (*.f64 y (*.f64 x x)) y) |
(*.f64 (*.f64 y (*.f64 x x)) (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 y (*.f64 y x))))) |
(*.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 y x))) |
(*.f64 (neg.f64 y) (*.f64 x (neg.f64 (*.f64 y x)))) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) |
(*.f64 (*.f64 x (neg.f64 (*.f64 y x))) (neg.f64 y)) |
(*.f64 (*.f64 y (*.f64 y x)) x) |
(*.f64 (*.f64 (*.f64 y x) y) x) |
(*.f64 (neg.f64 (*.f64 y (*.f64 y x))) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) |
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 y (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x (neg.f64 (*.f64 y x)))) y) |
(*.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y x)))) x) |
| 1× | egg-herbie |
| 8 910× | lower-fma.f64 |
| 8 910× | lower-fma.f32 |
| 5 548× | lower-*.f64 |
| 5 548× | lower-*.f32 |
| 2 704× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 4238 |
| 1 | 1462 | 4128 |
| 2 | 4019 | 4056 |
| 0 | 8155 | 3854 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) 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))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(/ 1 (* x y)) |
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z) |
(/ 1 z) |
(* -1 (/ (- (/ (* x y) z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(/ 1 (* x y)) |
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (+ 1 (+ (* -1 (/ (* x y) z)) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) z) |
(/ (- (+ 1 (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) z) |
(/ 1 z) |
(* -1 (/ (- (/ (* x y) z) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (/ (* (pow x 2) (pow y 2)) z)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)) z))) z)) 1) z)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (/ (* (pow x 2) y) (pow z 3)))) (/ 1 z)) |
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y) |
(/ (+ (* -1 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2))))) y) |
(/ (- (+ (* -1 (/ z (* (pow x 2) y))) (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2))))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow x 2))) (/ (pow z 2) (* (pow x 3) y))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow x 2))) (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y))) y)) (/ 1 x)) y)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* x (+ (* -1 (/ y (pow z 2))) (/ (* x (pow y 2)) (pow z 3)))) (/ 1 z)) |
(+ (* x (+ (* -1 (/ y (pow z 2))) (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3))))) x) |
(/ (- (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ (pow z 2) (* x (pow y 3)))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x))) x)) (/ 1 y)) x)) |
(* -1 (* (pow x 2) (pow y 2))) |
(- (pow z 2) (* (pow x 2) (pow y 2))) |
(- (pow z 2) (* (pow x 2) (pow y 2))) |
(- (pow z 2) (* (pow x 2) (pow y 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) |
(pow z 2) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (pow x 2))) |
(pow z 2) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
(+ (* -1 (* (pow x 2) (pow y 2))) (pow z 2)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (pow y 2))) |
(* -1 (* x y)) |
(- z (* x y)) |
(- z (* x y)) |
(- z (* x y)) |
z |
(* z (+ 1 (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ (* x y) z)))) |
z |
(* -1 (* z (- (/ (* x y) z) 1))) |
(* -1 (* z (- (/ (* x y) z) 1))) |
(* -1 (* z (- (/ (* x y) z) 1))) |
z |
(+ z (* -1 (* x y))) |
(+ z (* -1 (* x y))) |
(+ z (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (- (/ z y) x)) |
(* y (- (/ z y) x)) |
(* y (- (/ z y) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ z y)) (* -1 x)))) |
z |
(+ z (* -1 (* x y))) |
(+ z (* -1 (* x y))) |
(+ z (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ z x) y)) |
(* x (- (/ z x) y)) |
(* x (- (/ z x) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ z x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ z x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ z x)) (* -1 y)))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
z |
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
z |
(+ z (* -1 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
1 |
(+ 1 (* -2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(cos (* -2 y)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
| Outputs |
|---|
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) x) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(+ (* x (sin y)) (* z (cos y))) |
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
z |
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z)))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
z |
(+ z (* -1 (* (pow y 2) z))) |
(-.f64 z (*.f64 z (*.f64 y y))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) (neg.f64 z)) z) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(cos (* -2 y)) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
Compiled 58 612 to 3 222 computations (94.5% saved)
49 alts after pruning (43 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 785 | 16 | 1 801 |
| Fresh | 6 | 27 | 33 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 793 | 49 | 1 842 |
| Status | Accuracy | Program |
|---|---|---|
| 70.1% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) | |
| 53.2% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (sin.f64 y)) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| ▶ | 38.5% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
| 38.7% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 38.5% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 38.7% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| ✓ | 99.7% | (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| 50.5% | (fma.f64 z (/.f64 (*.f64 x y) z) z) | |
| 51.2% | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) | |
| 50.8% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) | |
| ✓ | 51.9% | (fma.f64 y x z) |
| 51.9% | (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) | |
| ▶ | 99.2% | (fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 50.7% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 32.9% | (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) | |
| ✓ | 62.8% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| 27.0% | (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)) | |
| 33.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)) | |
| 9.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) | |
| 22.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) | |
| 39.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) | |
| 28.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) | |
| 11.0% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) | |
| 50.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) | |
| 50.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) | |
| ▶ | 62.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 14.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| ▶ | 32.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
| 32.7% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) | |
| 54.8% | (+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) | |
| 62.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) | |
| 62.7% | (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z) | |
| 21.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) | |
| 38.7% | (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 38.5% | (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 91.9% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) | |
| 38.4% | (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| ✓ | 63.0% | (*.f64 z (cos.f64 y)) |
| ▶ | 40.1% | (*.f64 z #s(literal 1 binary64)) |
| 38.3% | (*.f64 y (+.f64 x (/.f64 z y))) | |
| 87.6% | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) | |
| 46.2% | (*.f64 x (+.f64 y (/.f64 z x))) | |
| 38.4% | (*.f64 x (sin.f64 y)) | |
| ✓ | 14.7% | (*.f64 x y) |
Compiled 1 767 to 1 004 computations (43.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
| ✓ | cost-diff | 1664 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)) |
| ✓ | cost-diff | 0 | (*.f64 z (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 z #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 13888 | (fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
| 6 274× | lower-fma.f32 |
| 6 264× | lower-fma.f64 |
| 3 732× | lower-*.f32 |
| 3 710× | lower-*.f64 |
| 1 840× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 249 |
| 0 | 67 | 259 |
| 1 | 125 | 247 |
| 2 | 332 | 213 |
| 3 | 944 | 204 |
| 4 | 2941 | 204 |
| 5 | 4603 | 204 |
| 0 | 8369 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
x |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(sin.f64 y) |
y |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
#s(literal 2 binary64) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
z |
(*.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 y y)) |
z |
#s(literal 1/24 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(fma.f64 y x z) |
y |
x |
z |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
| Outputs |
|---|
(fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (fma.f64 (sin.f64 y) (/.f64 x (cos.f64 y)) z)) |
x |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(sin.f64 y) |
y |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 (*.f64 y #s(literal -2 binary64))) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
#s(literal 2 binary64) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z z)) |
z |
(*.f64 z #s(literal 1 binary64)) |
z |
z |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 y y)) |
z |
#s(literal 1/24 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(fma.f64 x y z) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
(-.f64 (*.f64 y x) z) |
(-.f64 (*.f64 x y) z) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(*.f64 (cos.f64 y) z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
| ✓ | accuracy | 50.2% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 88.2% | (*.f64 z (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| ✓ | accuracy | 99.6% | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 167.0ms | 256× | 0 | valid |
Compiled 267 to 42 computations (84.3% saved)
ival-mult: 42.0ms (34.4% of total)ival-pow2: 39.0ms (31.9% of total)ival-div: 10.0ms (8.2% of total)ival-cos: 10.0ms (8.2% of total)ival-sin: 7.0ms (5.7% of total)ival-add: 6.0ms (4.9% of total)ival-sub: 4.0ms (3.3% of total)const: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))> |
#<alt (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))> |
#<alt (sin.f64 y)> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))> |
#<alt (*.f64 z #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64)))> |
#<alt (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z)> |
#<alt (*.f64 y y)> |
#<alt (*.f64 z (*.f64 y y))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))> |
#<alt (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))> |
#<alt (*.f64 z (cos.f64 y))> |
#<alt (cos.f64 y)> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))> |
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))> |
#<alt (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))> |
#<alt (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))> |
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))> |
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))> |
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#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))> |
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))> |
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))> |
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
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#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2))> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))> |
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#<alt (* z (- (* 1/24 (pow y 2)) 1/2))> |
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#<alt (* z (- (* 1/24 (pow y 2)) 1/2))> |
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))> |
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#<alt (* -1 (* z (+ 1/2 (* -1/24 (pow y 2)))))> |
#<alt (* -1 (* z (+ 1/2 (* -1/24 (pow y 2)))))> |
#<alt (* -1/2 z)> |
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#<alt z> |
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#<alt (* 1/24 (* (pow y 4) z))> |
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#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))> |
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#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
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#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (* (pow y 2) z)> |
#<alt (/ 1 z)> |
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))> |
#<alt (+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)> |
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#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y)> |
#<alt (/ 1 (* x y))> |
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#<alt (/ 1 z)> |
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#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)> |
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#<alt (/ 1 (* x y))> |
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#<alt (/ 1 (* x y))> |
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#<alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (/ 1 z)> |
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#<alt (/ 1 z)> |
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* y (+ x (/ z y)))> |
#<alt (* x y)> |
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#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x (+ y (/ z x)))> |
#<alt (* x y)> |
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#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))> |
#<alt (* x y)> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt (+ z (* x y))> |
#<alt z> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt (* z (+ 1 (/ (* x y) z)))> |
#<alt z> |
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#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))> |
#<alt (/ -1 (pow z 2))> |
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#<alt (- (* y (- (* y (- (* -1 (* y (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) (pow z 2)) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4))))) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))))) (/ 1 (pow z 2)))> |
#<alt (/ 1 (* (pow x 2) (pow y 2)))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))) y)) (/ 1 (pow x 2))) (pow y 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4)))) (pow y 2))) (/ 1 (pow x 2))) (+ (* -1 (/ z (* (pow x 3) y))) (/ z (* (pow x 3) y)))) (pow y 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2))) (/ (* (pow z 2) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (pow y 3))) (/ 1 (pow x 2))) (+ (* -1 (/ z (* (pow x 3) y))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (* (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 2)))) (/ z (* (pow x 3) y)))))) (pow y 2))> |
#<alt (/ 1 (* (pow x 2) (pow y 2)))> |
#<alt (/ (+ (* -1 (/ z (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ z (* (pow x 3) y)))) (pow y 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 4) y)))) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (* (pow x 2) y))) (/ (* (pow z 2) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (* (pow x 2) y))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) y)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2))> |
#<alt (/ -1 (pow z 2))> |
#<alt (- (* -1 (* x (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3))))) (/ 1 (pow z 2)))> |
#<alt (- (* x (- (* -1 (* x (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2)) (/ (pow y 2) (pow z 4))))) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3))))) (/ 1 (pow z 2)))> |
#<alt (- (* x (- (* x (- (* -1 (* x (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2)) (/ (pow y 2) (pow z 4)))) (pow z 2)) (/ (* (pow y 2) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2))))) (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2)) (/ (pow y 2) (pow z 4))))) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3))))) (/ 1 (pow z 2)))> |
#<alt (/ 1 (* (pow x 2) (pow y 2)))> |
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4)))) (pow x 2))) (/ 1 (pow y 2))) (+ (* -1 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3))))) (pow x 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4))))) (pow y 2))) (/ (* (pow z 2) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (pow x 3))) (/ 1 (pow y 2))) (+ (* -1 (/ z (* x (pow y 3)))) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (* (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 4)))) (/ z (* x (pow y 3))))))) (pow x 2))> |
#<alt (/ 1 (* (pow x 2) (pow y 2)))> |
#<alt (/ (+ (* -1 (/ z (* x (pow y 3)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 3))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (* x (pow y 2)))) (* -1 (/ (pow z 2) (* x (pow y 4))))) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4))))) (* x (pow y 2)))) (/ (* (pow z 2) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (* x (pow y 2)))) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4))))) x)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2))> |
#<alt (/ 1 (* (pow x 2) (pow y 2)))> |
#<alt (+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 4) (pow y 4))))> |
#<alt (+ (* (pow z 2) (+ (/ 1 (* (pow x 4) (pow y 4))) (/ (pow z 2) (* (pow x 6) (pow y 6))))) (/ 1 (* (pow x 2) (pow y 2))))> |
#<alt (+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 6) (pow y 6))) (/ (pow z 2) (* (pow x 8) (pow y 8))))) (/ 1 (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2))))> |
#<alt (/ -1 (pow z 2))> |
#<alt (/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1) (pow z 2))> |
#<alt (/ (- (* -1 (/ (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2)) (pow z 2))) (+ 1 (+ (* -1 (/ (* x y) z)) (/ (* x y) z)))) (pow z 2))> |
#<alt (/ (- (* -1 (/ (+ (* (+ (* -1 (* x y)) (* x y)) (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2))) (* (pow x 2) (* (pow y 2) (+ (* -1 (* x y)) (* x y))))) (pow z 3))) (+ 1 (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (/ (pow (+ (* -1 (* x y)) (* x y)) 2) (pow z 2))))))) (pow z 2))> |
#<alt (/ -1 (pow z 2))> |
#<alt (/ (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1) (pow z 2))> |
#<alt (/ (- (* -1 (/ (- (+ (/ (* (pow x 2) (pow y 2)) z) (/ (pow (+ (* -1 (* x y)) (* x y)) 2) z)) (+ (* -1 (* x y)) (* x y))) z)) 1) (pow z 2))> |
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2))) z) (/ (* (pow x 2) (* (pow y 2) (+ (* -1 (* x y)) (* x y)))) z)) (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2))) z)) (+ (* -1 (* x y)) (* x y))) z)) 1) (pow z 2))> |
#<alt (* -1 (pow z 2))> |
#<alt (+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (* x z))))> |
#<alt (+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y)))))> |
#<alt (+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (* x z) y) (pow x 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2)))> |
#<alt (* -1 (pow z 2))> |
#<alt (+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (* y z))))> |
#<alt (+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z)))))> |
#<alt (+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (pow y 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2)))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (+ (* z (+ (* -1 (* x y)) (* x y))) (* (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2)))> |
#<alt (+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1))> |
#<alt (* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1))> |
#<alt (* -1 (pow z 2))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))> |
#<alt (* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 z)> |
#<alt (+ (* 1/2 (/ (pow y 2) z)) (/ 1 z))> |
#<alt (+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (/ 1 (* z (cos y)))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt z> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt (* z (cos y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt (cos y)> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (pow (cos y) 2)> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt z> |
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))> |
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))> |
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt z> |
#<alt (+ z (* -1 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))> |
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
#<alt (* z (+ 1/2 (* 1/2 (cos (* -2 y)))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | (+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 2.0ms | z | @ | 0 | (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) |
| 2.0ms | x | @ | 0 | (+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 2.0ms | y | @ | -inf | (+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 2.0ms | y | @ | inf | (+ (* x (* (sin y) (/ (+ (* 1/2 (cos (* y -2))) 1/2) (pow (cos y) 2)))) (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) |
| 1× | batch-egg-rewrite |
| 5 210× | lower-fma.f32 |
| 5 200× | lower-fma.f64 |
| 4 174× | lower-/.f32 |
| 4 170× | lower-*.f32 |
| 4 162× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 206 |
| 0 | 67 | 200 |
| 1 | 237 | 168 |
| 2 | 1816 | 164 |
| 0 | 8212 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(sin.f64 y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(*.f64 y y) |
(*.f64 z (*.f64 y y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) |
(*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) (*.f64 x (*.f64 (tan.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))) |
(+.f64 (*.f64 x (*.f64 (tan.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (tan.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 (tan.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 (tan.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))))) |
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(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z) |
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) z)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) z))))) |
(fma.f64 #s(literal 1/2 binary64) z (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 z #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))) |
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) z (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z))) |
(fma.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) z (*.f64 #s(literal 1/2 binary64) z)) |
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) z))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))) (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 z (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) z)))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) z) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) z)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z)) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) z) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 1/2 binary64) z)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) z) (neg.f64 (*.f64 #s(literal 1/2 binary64) z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 8 342× | lower-fma.f64 |
| 8 342× | lower-fma.f32 |
| 5 106× | lower-*.f64 |
| 5 106× | lower-*.f32 |
| 3 006× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 750 | 6372 |
| 1 | 2470 | 5354 |
| 0 | 9304 | 5013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z)))))) |
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z)))))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)) |
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 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)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
1 |
1 |
1 |
1 |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (pow (cos y) 2)) |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1 (* z (+ 1/2 (* -1/24 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(* 1/24 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* 1/24 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(* 1/24 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* 1/24 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2)))) 1))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(* (pow y 2) z) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (/ (* (pow x 2) y) (pow z 3)) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (pow z 4))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y) |
(/ (- (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y))) y) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ z (* (pow x 2) y)))) y) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 3) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* (pow x 4) y)) (/ (pow z 2) (pow x 3))) y)) (/ z (pow x 2))) y)) (/ 1 x)) y)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ (* x (pow y 2)) (pow z 3)) (/ y (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (* -1 (/ (pow y 2) (pow z 3))))) (/ y (pow z 2)))) (/ 1 z)) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2)))) x) |
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 2))) x)) (/ 1 y)) x)) |
(/ 1 (* x y)) |
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) |
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)) z) |
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z))) z) |
(/ 1 z) |
(* -1 (/ (- (/ (* x y) z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* x y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) z) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1) z)) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(/ -1 (pow z 2)) |
(- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))))) (/ 1 (pow z 2))) |
(- (* y (- (* -1 (* y (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4))))) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))))) (/ 1 (pow z 2))) |
(- (* y (- (* y (- (* -1 (* y (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4)))) (pow z 2)) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2)) (/ (pow x 2) (pow z 4))))) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))))) (/ 1 (pow z 2))) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4)))) (pow y 2))) (/ 1 (pow x 2))) (+ (* -1 (/ z (* (pow x 3) y))) (/ z (* (pow x 3) y)))) (pow y 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2))) (/ (* (pow z 2) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (pow y 3))) (/ 1 (pow x 2))) (+ (* -1 (/ z (* (pow x 3) y))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (* (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 4) (pow y 2)))) (/ z (* (pow x 3) y)))))) (pow y 2)) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ z (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ z (* (pow x 3) y)))) (pow y 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (* (pow x 2) y))) (* -1 (/ (pow z 2) (* (pow x 4) y)))) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (* (pow x 2) y))) (/ (* (pow z 2) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (* (pow x 2) y))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) y)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) y)) (/ 1 (pow x 2))) (pow y 2)) |
(/ -1 (pow z 2)) |
(- (* -1 (* x (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3))))) (/ 1 (pow z 2))) |
(- (* x (- (* -1 (* x (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2)) (/ (pow y 2) (pow z 4))))) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3))))) (/ 1 (pow z 2))) |
(- (* x (- (* x (- (* -1 (* x (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2)) (/ (pow y 2) (pow z 4)))) (pow z 2)) (/ (* (pow y 2) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2))))) (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3)))) (pow z 2)) (/ (pow y 2) (pow z 4))))) (+ (* -1 (/ y (pow z 3))) (/ y (pow z 3))))) (/ 1 (pow z 2))) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4)))) (pow x 2))) (/ 1 (pow y 2))) (+ (* -1 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3))))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4))))) (pow y 2))) (/ (* (pow z 2) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (pow x 3))) (/ 1 (pow y 2))) (+ (* -1 (/ z (* x (pow y 3)))) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (* (pow x 2) (pow y 2)))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow y 4)))) (/ z (* x (pow y 3))))))) (pow x 2)) |
(/ 1 (* (pow x 2) (pow y 2))) |
(/ (+ (* -1 (/ z (* x (pow y 3)))) (+ (/ 1 (pow y 2)) (/ z (* x (pow y 3))))) (pow x 2)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (* x (pow y 2)))) (* -1 (/ (pow z 2) (* x (pow y 4))))) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4))))) (* x (pow y 2)))) (/ (* (pow z 2) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (* x (pow y 2)))) (+ (* -1 (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) (pow y 2))) (* -1 (/ (pow z 2) (pow y 4))))) x)) (+ (* -1 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (/ 1 (pow y 2))) (pow x 2)) |
(/ 1 (* (pow x 2) (pow y 2))) |
(+ (/ 1 (* (pow x 2) (pow y 2))) (/ (pow z 2) (* (pow x 4) (pow y 4)))) |
(+ (* (pow z 2) (+ (/ 1 (* (pow x 4) (pow y 4))) (/ (pow z 2) (* (pow x 6) (pow y 6))))) (/ 1 (* (pow x 2) (pow y 2)))) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (* (pow x 6) (pow y 6))) (/ (pow z 2) (* (pow x 8) (pow y 8))))) (/ 1 (* (pow x 4) (pow y 4))))) (/ 1 (* (pow x 2) (pow y 2)))) |
(/ -1 (pow z 2)) |
(/ (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2)) (pow z 2))) (+ 1 (+ (* -1 (/ (* x y) z)) (/ (* x y) z)))) (pow z 2)) |
(/ (- (* -1 (/ (+ (* (+ (* -1 (* x y)) (* x y)) (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2))) (* (pow x 2) (* (pow y 2) (+ (* -1 (* x y)) (* x y))))) (pow z 3))) (+ 1 (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (+ (/ (* (pow x 2) (pow y 2)) (pow z 2)) (/ (pow (+ (* -1 (* x y)) (* x y)) 2) (pow z 2))))))) (pow z 2)) |
(/ -1 (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (- (+ (/ (* (pow x 2) (pow y 2)) z) (/ (pow (+ (* -1 (* x y)) (* x y)) 2) z)) (+ (* -1 (* x y)) (* x y))) z)) 1) (pow z 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2))) z) (/ (* (pow x 2) (* (pow y 2) (+ (* -1 (* x y)) (* x y)))) z)) (+ (* (pow x 2) (pow y 2)) (pow (+ (* -1 (* x y)) (* x y)) 2))) z)) (+ (* -1 (* x y)) (* x y))) z)) 1) (pow z 2)) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (* x z)))) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y))))) |
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* x z)) (+ (* x z) (* (pow x 2) y))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (* x z) y) (pow x 2)))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ (* x z) y) (pow x 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (* x z)) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x z)) (+ (* x z) (/ (pow z 2) y))) y)) (pow x 2))) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (* y z)))) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z))))) |
(+ (* -1 (pow z 2)) (* x (+ (* -1 (* y z)) (+ (* x (pow y 2)) (* y z))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (+ (/ (* y z) x) (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow z 2) x))) x)) (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(+ (* z (+ (* -1 (* x y)) (* x y))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2))) |
(+ (* z (+ (* -1 z) (+ (* -1 (* x y)) (* x y)))) (* (pow x 2) (pow y 2))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (/ (* x y) z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ (* x y) z)) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (* x y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* x y)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y))) z)) 1)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 z) |
(+ (* 1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(/ 1 (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
z |
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
z |
(+ z (* -1 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
| Outputs |
|---|
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(*.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(*.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))) |
(*.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(*.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(*.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2)))))) |
(*.f64 x (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z)))))) |
(fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z) |
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z)))))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))) |
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))) |
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(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
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(sin y) |
(sin.f64 y) |
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(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
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(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
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(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
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(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
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(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
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(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/2 (cos (* -2 y)))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow y 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(pow (cos y) 2) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
z |
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z)))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/4 binary64) (*.f64 z #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z) |
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/4 binary64) (*.f64 z #s(literal 1/24 binary64)))) (fma.f64 z #s(literal -1/720 binary64) (*.f64 z #s(literal -1/48 binary64))))) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/4 binary64) (*.f64 z #s(literal 1/24 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
z |
(+ z (* -1 (* (pow y 2) z))) |
(-.f64 z (*.f64 z (*.f64 y y))) |
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) z) |
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) (neg.f64 z)) z) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
(* z (+ 1/2 (* 1/2 (cos (* -2 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) |
Compiled 44 819 to 3 832 computations (91.5% saved)
54 alts after pruning (48 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 440 | 20 | 1 460 |
| Fresh | 10 | 28 | 38 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 455 | 54 | 1 509 |
| Status | Accuracy | Program |
|---|---|---|
| 53.2% | (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (sin.f64 y)) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) | |
| 38.5% | (fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) | |
| 38.7% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 38.5% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 38.7% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 38.7% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) | |
| 37.9% | (fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 50.5% | (fma.f64 z (/.f64 (*.f64 y x) z) z) | |
| 51.2% | (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) | |
| 50.8% | (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) | |
| ✓ | 51.9% | (fma.f64 y x z) |
| 51.9% | (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) | |
| 99.6% | (fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) | |
| 50.7% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 32.9% | (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) | |
| 38.1% | (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) | |
| ✓ | 62.8% | (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
| 27.0% | (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)) | |
| 62.9% | (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) | |
| 62.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) | |
| 9.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) | |
| 14.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) | |
| 22.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) | |
| 39.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) | |
| 28.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) | |
| 11.0% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) | |
| 50.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) | |
| 38.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 62.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| 14.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 32.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) | |
| 23.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) | |
| 13.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) | |
| 21.7% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) | |
| 21.8% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) | |
| 54.8% | (+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) | |
| 62.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) | |
| 21.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) | |
| 38.7% | (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 91.9% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) | |
| 38.4% | (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| ✓ | 63.0% | (*.f64 z (cos.f64 y)) |
| 38.3% | (*.f64 y (+.f64 x (/.f64 z y))) | |
| 87.6% | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) | |
| 46.2% | (*.f64 x (+.f64 y (/.f64 z x))) | |
| 38.4% | (*.f64 x (sin.f64 y)) | |
| ✓ | 14.7% | (*.f64 x y) |
| 50.3% | (neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) | |
| 40.1% | z |
Compiled 2 585 to 913 computations (64.7% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))) |
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))) |
(fma.f64 x (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 x (sin.f64 y)) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 x (*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) |
(fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 y) (neg.f64 z) (*.f64 (sin.f64 y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z (*.f64 (cos.f64 y) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))) |
(/.f64 (-.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (*.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
4 calls:
| 30.0ms | z |
| 28.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 28.0ms | x |
| 26.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
4 calls:
| 20.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 19.0ms | z |
| 18.0ms | y |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(*.f64 x (sin.f64 y)) |
(+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
4 calls:
| 19.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | x |
| 17.0ms | y |
| 16.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | x |
| 80.9% | 4 | y |
| 76.6% | 3 | z |
| 67.7% | 3 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(*.f64 x (sin.f64 y)) |
(+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) |
(*.f64 z (cos.f64 y)) |
1 calls:
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 4 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) |
(*.f64 x (sin.f64 y)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(*.f64 z (cos.f64 y)) |
1 calls:
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 4 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| Outputs |
|---|
(*.f64 z (cos.f64 y)) |
(*.f64 x (sin.f64 y)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(*.f64 z (cos.f64 y)) |
1 calls:
| 21.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 4 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
(*.f64 x (sin.f64 y)) |
| Outputs |
|---|
(*.f64 x (sin.f64 y)) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(*.f64 x (sin.f64 y)) |
3 calls:
| 17.0ms | x |
| 16.0ms | y |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 3 | z |
| 60.9% | 3 | x |
| 74.6% | 3 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(*.f64 x (+.f64 y (/.f64 z x))) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 z (/.f64 (*.f64 x y) z) z) |
(fma.f64 z (/.f64 (*.f64 y x) z) z) |
(neg.f64 (*.f64 z (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 z (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) |
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (*.f64 z z))) |
(*.f64 z (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z))) |
(/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))) (-.f64 z (*.f64 y x))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (*.f64 x y) z) z))) |
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 z (*.f64 y y)) #s(literal -1/720 binary64) (*.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 y x)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (*.f64 y (*.f64 x x)))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (*.f64 y y)))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x z)) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y z)) (-.f64 (*.f64 x y) z)) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 z x) y)) (-.f64 (*.f64 z z) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) #s(literal 0 binary64)) y)))) (-.f64 (*.f64 y x) z))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 z #s(literal 1/3 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/45 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal 7/24 binary64)))))) (neg.f64 (*.f64 z #s(literal 7/24 binary64)))))) (*.f64 z #s(literal -1/2 binary64))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 y x)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (*.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z)))))) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (*.f64 x (*.f64 x y)))) y)) |
| Outputs |
|---|
(fma.f64 y x z) |
4 calls:
| 59.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | y |
| 16.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | z |
| 51.9% | 1 | x |
| 51.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 51.9% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 x y) |
z |
4 calls:
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 3 | z |
| 40.1% | 1 | y |
| 40.1% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 42.5% | 2 | x |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
z |
| Outputs |
|---|
z |
3 calls:
| 2.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | y |
| 40.1% | 1 | z |
| 40.1% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.201430563830993e-6 | 0.010731565425976242 |
| 22.0ms | -5.482007453658709e+28 | -3.2174383988483776e+22 |
| 25.0ms | -1.863703069497045e+236 | -3.33156578514542e+225 |
| 45.0ms | 432× | 0 | valid |
Compiled 844 to 555 computations (34.2% saved)
ival-sin: 14.0ms (43.4% of total)ival-cos: 10.0ms (31% of total)ival-mult: 6.0ms (18.6% of total)ival-add: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.01760970337630528 | 3318.5105384673066 |
| 21.0ms | -3.2174383988483776e+22 | -4.705349665585372e+19 |
| 1.0ms | -1.863703069497045e+236 | -3.33156578514542e+225 |
| 31.0ms | 272× | 0 | valid |
Compiled 810 to 538 computations (33.6% saved)
ival-sin: 10.0ms (41.9% of total)ival-cos: 8.0ms (33.5% of total)ival-mult: 4.0ms (16.8% of total)ival-add: 1.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.201430563830993e-6 | 0.010731565425976242 |
| 10.0ms | -0.01723993970602273 | -0.002411676148133104 |
| 1.0ms | -1.863703069497045e+236 | -3.33156578514542e+225 |
| 6.0ms | 96× | 0 | valid |
Compiled 579 to 402 computations (30.6% saved)
ival-cos: 1.0ms (27.6% of total)ival-mult: 1.0ms (27.6% of total)ival-sin: 1.0ms (27.6% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.201430563830993e-6 | 0.010731565425976242 |
| 1.0ms | -0.01723993970602273 | -0.002411676148133104 |
| 3.0ms | -1.863703069497045e+236 | -3.33156578514542e+225 |
| 2.0ms | 16× | 0 | valid |
Compiled 539 to 372 computations (31% saved)
ival-cos: 1.0ms (64.8% of total)ival-sin: 1.0ms (64.8% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1837220.45624653 | 1.5263865255475133e+24 |
| 1.0ms | -0.01723993970602273 | -0.002411676148133104 |
| 31.0ms | 160× | 0 | valid |
Compiled 431 to 286 computations (33.6% saved)
ival-cos: 18.0ms (67.9% of total)ival-sin: 6.0ms (22.6% of total)ival-mult: 2.0ms (7.5% of total)ival-add: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -1.2213297191984347e+114 | -3.601147089745719e+111 |
| 11.0ms | 128× | 0 | valid |
Compiled 111 to 86 computations (22.5% saved)
ival-sin: 3.0ms (39.4% of total)ival-cos: 2.0ms (26.3% of total)ival-mult: 2.0ms (26.3% of total)ival-add: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 243 |
| 1 | 87 | 243 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -7199999999999999664455680 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 6052837899185947/576460752303423488 binary64)) (+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -48000000000000000000 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 35/2 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 734987459186865/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3800000000000000076715255300429514908176175065762776933659319896662926120645062243914062908434552432106618994925423480122328387666108040317583003774074155172217391449378771462244328700284348777458928020877357222798537206743454187520 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 734987459186865/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1850000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) (*.f64 x (sin.f64 y)))) |
(fma.f64 y x z) |
(if (<=.f64 x #s(literal -719999999999999983862145553428477922816827166812897165111616931745044867116491526226376990746635122032953809436672 binary64)) (*.f64 x y) z) |
z |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -7199999999999999664455680 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 6052837899185947/576460752303423488 binary64)) (+.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) (*.f64 z (cos.f64 y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -7199999999999999664455680 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 6052837899185947/576460752303423488 binary64)) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -48000000000000000000 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 35/2 binary64)) (+.f64 (*.f64 x (sin.f64 y)) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -48000000000000000000 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 35/2 binary64)) (+.f64 (*.f64 (sin.f64 y) x) (fma.f64 (*.f64 z (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 734987459186865/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -4000000000000000225901644082083365659362505527932233498802260656621826255870312788756879046357839931919072677390145448386263922578427695509220640582413119117679135761216249279274256952330365107678398353221207013089607394785180516352 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) (if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 734987459186865/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) x) z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3800000000000000076715255300429514908176175065762776933659319896662926120645062243914062908434552432106618994925423480122328387666108040317583003774074155172217391449378771462244328700284348777458928020877357222798537206743454187520 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 734987459186865/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -3800000000000000076715255300429514908176175065762776933659319896662926120645062243914062908434552432106618994925423480122328387666108040317583003774074155172217391449378771462244328700284348777458928020877357222798537206743454187520 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 734987459186865/72057594037927936 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) x) z) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1850000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) z) (*.f64 x (sin.f64 y)))) |
(if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1850000 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) x) z) (*.f64 (sin.f64 y) x))) |
(fma.f64 y x z) |
(if (<=.f64 x #s(literal -719999999999999983862145553428477922816827166812897165111616931745044867116491526226376990746635122032953809436672 binary64)) (*.f64 x y) z) |
(if (<=.f64 x #s(literal -719999999999999983862145553428477922816827166812897165111616931745044867116491526226376990746635122032953809436672 binary64)) (*.f64 y x) z) |
z |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 6 874× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 206 |
| 0 | 67 | 200 |
| 1 | 237 | 168 |
| 2 | 1816 | 164 |
| 0 | 8212 | 162 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 1019 | 8553 |
| 1 | 3616 | 8417 |
| 0 | 8369 | 7993 |
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 991 | 668 |
| 3 | 2652 | 662 |
| 4 | 4669 | 662 |
| 5 | 6964 | 662 |
| 0 | 8196 | 606 |
| 1× | fuel |
| 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 553 to 283 computations (48.8% saved)
Compiled 516 to 160 computations (69% saved)
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