Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B
Time bar (total: 11.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.5s | 8 256× | 0 | valid |
ival-sin: 608.0ms (63.8% of total)ival-cos: 183.0ms (19.2% of total)ival-mult: 114.0ms (12% of total)ival-add: 38.0ms (4% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 3.0ms (0.3% 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 |
| 53.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-cos: 16.0ms (43.6% of total)ival-sin: 11.0ms (30% of total)ival-mult: 7.0ms (19.1% of total)ival-add: 2.0ms (5.5% of total)ival-true: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.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 z (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 6.0ms (34% of total)ival-cos: 5.0ms (28.4% of total)ival-add: 4.0ms (22.7% of total)ival-mult: 3.0ms (17% 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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* x (sin y)) |
| 1.0ms | x | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | inf | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | (+ (* x (sin y)) (* z (cos y))) |
| 1.0ms | y | @ | -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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 272 | 10 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 273 | 10 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 54.5% | (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))) |
| 54.2% | (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) | |
| ▶ | 54.0% | (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) |
| ▶ | 54.5% | (fma.f64 y x z) |
| 54.5% | (fma.f64 x (/.f64 (*.f64 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)))) (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))))))) | |
| ▶ | 42.3% | (/.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)))) |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| ▶ | 67.1% | (*.f64 z (cos.f64 y)) |
| 34.5% | (*.f64 x (sin.f64 y)) |
Compiled 420 to 220 computations (47.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.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)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | cost-diff | 6720 | (-.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)))))) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 z (cos.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (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) |
| ✓ | 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))) |
| 14 076× | lower-fma.f32 |
| 14 066× | lower-fma.f64 |
| 4 038× | lower-*.f32 |
| 4 020× | lower-*.f64 |
| 1 908× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 224 |
| 0 | 56 | 224 |
| 1 | 116 | 224 |
| 2 | 285 | 224 |
| 3 | 695 | 224 |
| 4 | 1558 | 220 |
| 5 | 3406 | 218 |
| 6 | 7231 | 218 |
| 0 | 8213 | 210 |
| 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 |
(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) |
y |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
z |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
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 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 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 z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 z z) |
z |
(+.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 x 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 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(sin.f64 y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(fma.f64 y x z) |
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 y (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z) |
y |
(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
z |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
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 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 1/2 binary64) (fma.f64 (-.f64 z x) (+.f64 z x) (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z))))) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 z x) (+.f64 z x) (*.f64 (cos.f64 (+.f64 y y)) (fma.f64 x x (*.f64 z z))))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 z z) |
z |
(+.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)) |
#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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 x x) |
x |
(-.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 (cos.f64 y)) (*.f64 x (sin.f64 y))) |
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.4% | (-.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)))))) |
| ✓ | accuracy | 86.9% | (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
| ✓ | accuracy | 76.0% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
| ✓ | accuracy | 55.4% | (/.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)))) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 z (cos.f64 y)) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
| ✓ | accuracy | 99.9% | (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) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
| ✓ | 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)) |
| 58.0ms | 87× | 1 | valid |
| 42.0ms | 126× | 0 | valid |
| 27.0ms | 33× | 2 | valid |
| 10.0ms | 9× | 3 | valid |
| 2.0ms | 1× | 4 | valid |
Compiled 234 to 35 computations (85% saved)
ival-cos: 35.0ms (32.2% of total)ival-mult: 26.0ms (23.9% of total)ival-add: 14.0ms (12.9% of total)adjust: 13.0ms (12% of total)ival-sub: 7.0ms (6.4% of total)ival-sin: 7.0ms (6.4% of total)const: 4.0ms (3.7% of total)ival-div: 3.0ms (2.8% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 (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)> |
#<alt (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x)> |
#<alt (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))> |
#<alt (*.f64 (*.f64 y x) #s(literal -1/6 binary64))> |
#<alt (-.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))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))> |
#<alt (/.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))))> |
#<alt (*.f64 y x)> |
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 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 (* -1/6 (* x (pow y 3)))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))> |
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))> |
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))> |
#<alt x> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))> |
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))> |
#<alt (* -1/2 (* y z))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))> |
#<alt (* -1/6 (* x y))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/2 z)> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))> |
#<alt (* -1/2 z)> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))> |
#<alt (* -1/2 z)> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1/6 (* x y))> |
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))> |
#<alt (pow z 2)> |
#<alt (+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))> |
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))> |
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))> |
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))> |
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))> |
#<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 (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 (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 (/ (* 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 (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -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 (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -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 (* 1/2 (cos (* 2 y))))) (cos y))> |
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))> |
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (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)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))> |
#<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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))> |
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))> |
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y))))> |
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin 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)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (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 (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))> |
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))> |
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))> |
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))> |
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (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 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))> |
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) |
| 2.0ms | z | @ | -inf | (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) |
| 2.0ms | z | @ | -inf | (+ (* z -1/2) (* (* y x) -1/6)) |
| 2.0ms | x | @ | inf | (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) |
| 1.0ms | y | @ | inf | (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) |
| 1× | batch-egg-rewrite |
| 6 182× | lower-fma.f32 |
| 6 172× | lower-fma.f64 |
| 5 418× | lower-*.f32 |
| 5 400× | lower-*.f64 |
| 5 022× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 149 |
| 0 | 56 | 122 |
| 1 | 238 | 96 |
| 2 | 1991 | 96 |
| 0 | 9198 | 96 |
| 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) |
(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 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) x) |
(fma.f64 z #s(literal -1/2 binary64) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(-.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) |
(/.f64 (-.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 y x) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (fma.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))) |
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(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 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 y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (-.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 y)))))))) (/.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 y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 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 y))))))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (/.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 y))))))) (-.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 y))))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (/.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 y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 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 y))))))) (fma.f64 (*.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)) #s(literal 1/4 binary64)))) |
(*.f64 (/.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 y))))))) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.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 y))))))) (/.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 y))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))))) (/.f64 (*.f64 x x) (fma.f64 (*.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)) #s(literal 1/4 binary64)))) |
| 1× | egg-herbie |
| 8 188× | lower-fma.f64 |
| 8 188× | lower-fma.f32 |
| 6 544× | lower-*.f64 |
| 6 544× | lower-*.f32 |
| 3 084× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 574 | 5772 |
| 1 | 1955 | 5632 |
| 2 | 6925 | 5608 |
| 0 | 8154 | 5124 |
| 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))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x)))) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1))))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y)))) |
(* -1/2 (* y z)) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1))) |
(* -1/6 (* x y)) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* -1/6 (* x y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1/6 (* x y)) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1/6 (* x y)) |
(* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y)))))) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) |
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) |
(+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) |
(* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2)) |
(* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2)) |
(* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2)) |
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))))) |
(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))))) |
(/ (* 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 (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -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 (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -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 (* 1/2 (cos (* 2 y))))) (cos y)) |
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3))))))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3))))))) |
(/ (* 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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin y)))) |
(/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* z (cos y)) (* x (sin 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)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (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) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
| 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 y (*.f64 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))) |
(* 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 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* 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)) |
(+ (* 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 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))) |
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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (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)) (*.f64 y (*.f64 y y)) 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 y y) (*.f64 z (fma.f64 y (*.f64 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 z #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) y) y)) 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 y (*.f64 y (fma.f64 y (*.f64 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) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* x y)) |
(fma.f64 x y z) |
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(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) |
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z |
(+ z (* x y)) |
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(/.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.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))) |
(+ (/ (* 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 y #s(literal -2 binary64))) #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 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (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 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (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 (sin.f64 y) (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 z (cos.f64 y)))) |
(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (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 x (fma.f64 x (fma.f64 x (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (cos.f64 y)))) (/.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (*.f64 z (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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (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 (sin.f64 y) (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 z (cos.f64 y)))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))) |
(* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))) |
(neg.f64 (*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.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)) (sin.f64 y))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(*.f64 x (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 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)) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (sin.f64 y)))))) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) |
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3)))))) |
(*.f64 x (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 z z)) (*.f64 x (*.f64 x (sin.f64 y)))) (-.f64 (fma.f64 (*.f64 (cos.f64 y) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)))))) (/.f64 z (*.f64 x (*.f64 x (*.f64 x (sin.f64 y))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))) |
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))) |
(* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))))) |
(neg.f64 (*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.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)) (sin.f64 y))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y)))) x) (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) x))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y))))) (/.f64 z (*.f64 x (sin.f64 y))) (fma.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (sin.f64 y))))) x) (*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) x))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) y) y (*.f64 x x))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 2/45 binary64))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/315 binary64)) y) y (*.f64 (*.f64 x x) #s(literal 2/45 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x x))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
Compiled 49 142 to 2 417 computations (95.1% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 131 | 24 | 1 155 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 135 | 30 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| 40.3% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) | |
| 54.5% | (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))) |
| 40.7% | (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) | |
| 54.2% | (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) | |
| 53.7% | (fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) | |
| 33.2% | (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) | |
| 40.7% | (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) | |
| 40.2% | (fma.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) | |
| ✓ | 54.5% | (fma.f64 y x z) |
| 42.3% | (/.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 (-.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 y))))))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 37.3% | (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| ▶ | 53.7% | (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
| 66.9% | (*.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))) | |
| 21.3% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))) | |
| 33.7% | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) | |
| 2.9% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) | |
| 40.7% | (*.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))) | |
| 40.3% | (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 94.6% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) | |
| ✓ | 67.1% | (*.f64 z (cos.f64 y)) |
| 41.7% | (*.f64 z #s(literal 1 binary64)) | |
| 42.4% | (*.f64 y (+.f64 x (/.f64 z y))) | |
| ▶ | 84.1% | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
| 15.9% | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) | |
| ▶ | 3.0% | (*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
| 34.5% | (*.f64 x (sin.f64 y)) | |
| ▶ | 16.2% | (*.f64 x y) |
| 40.5% | (neg.f64 (*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.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)) (sin.f64 y))))) |
Compiled 1 025 to 598 computations (41.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 y) x) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
| ✓ | cost-diff | 704 | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) |
| ✓ | cost-diff | 448 | (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (cos.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| 4 902× | lower-*.f32 |
| 4 882× | lower-*.f64 |
| 3 072× | lower-/.f32 |
| 3 066× | lower-/.f64 |
| 2 634× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 158 |
| 0 | 50 | 152 |
| 1 | 87 | 151 |
| 2 | 164 | 147 |
| 3 | 323 | 147 |
| 4 | 419 | 147 |
| 5 | 702 | 147 |
| 6 | 1143 | 147 |
| 7 | 2675 | 147 |
| 8 | 3734 | 147 |
| 9 | 4231 | 147 |
| 10 | 4877 | 147 |
| 11 | 5142 | 147 |
| 12 | 5612 | 147 |
| 13 | 5824 | 147 |
| 14 | 6076 | 147 |
| 15 | 6312 | 147 |
| 16 | 6546 | 147 |
| 17 | 6821 | 147 |
| 18 | 7126 | 147 |
| 19 | 7473 | 147 |
| 20 | 7674 | 147 |
| 21 | 7787 | 147 |
| 22 | 7900 | 147 |
| 0 | 9508 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(*.f64 x y) |
x |
y |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
x |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
y |
(*.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
(*.f64 y y) |
(fma.f64 y x z) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(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 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
z |
(cos.f64 y) |
y |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) |
x |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
y |
(*.f64 x #s(literal -1/6 binary64)) |
x |
#s(literal -1/6 binary64) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
(*.f64 y y) |
(fma.f64 y x z) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
x |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.8% | (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 y) x) |
| ✓ | accuracy | 84.2% | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 94.7% | (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) |
| ✓ | accuracy | 91.3% | (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 91.9% | (*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 99.9% | (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
| 95.0ms | 256× | 0 | valid |
Compiled 170 to 32 computations (81.2% saved)
ival-cos: 28.0ms (37.6% of total)ival-mult: 21.0ms (28.2% of total)ival-div: 10.0ms (13.4% of total)ival-add: 5.0ms (6.7% of total)ival-sin: 5.0ms (6.7% of total)const: 4.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))> |
#<alt (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))> |
#<alt (cos.f64 y)> |
#<alt (*.f64 x y)> |
#<alt (*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))> |
#<alt (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y))> |
#<alt (*.f64 y y)> |
#<alt (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z))> |
#<alt (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))> |
#<alt (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))> |
#<alt (*.f64 x #s(literal -1/6 binary64))> |
#<alt (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))> |
#<alt (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))> |
#<alt (/.f64 (cos.f64 y) x)> |
#<alt (*.f64 (sin.f64 y) x)> |
| Outputs |
|---|
#<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)> |
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#<alt (/ (cos y) x)> |
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#<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))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (* -1/6 (* y y)) |
| 5.0ms | x | @ | -inf | (+ (* (+ (* y (* x -1/6)) (* z -1/2)) (* y y)) (+ (* y x) z)) |
| 1.0ms | x | @ | 0 | (* x (* y (* -1/6 (* y y)))) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* z (cos y)) (* (sin y) x))) |
| 1.0ms | y | @ | -inf | (* x (+ (* z (/ (cos y) x)) (sin y))) |
| 1× | batch-egg-rewrite |
| 8 290× | lower-fma.f32 |
| 8 282× | lower-fma.f64 |
| 4 574× | lower-*.f32 |
| 4 554× | lower-*.f64 |
| 3 412× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 125 |
| 0 | 50 | 121 |
| 1 | 171 | 120 |
| 2 | 1187 | 116 |
| 0 | 8197 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(*.f64 x y) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) |
(fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(/.f64 (cos.f64 y) x) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(+.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(+.f64 (neg.f64 (*.f64 z (neg.f64 (cos.f64 y)))) (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (*.f64 z (neg.f64 (cos.f64 y))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 (cos.f64 y)))) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 (cos.f64 y))))) |
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(-.f64 (/.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 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y))))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 (cos.f64 y))) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 (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))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 (cos.f64 y)))))) (+.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) (/.f64 (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 (cos.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y))))))))) |
(/.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #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 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 (cos.f64 y)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y))))) |
(/.f64 (-.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 (sin.f64 y) x))) (*.f64 (-.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 x x)))) (*.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.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 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.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 y y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)) |
(*.f64 (+.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 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y)))))))) |
(*.f64 (+.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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (*.f64 z (neg.f64 (cos.f64 y)))))))) |
(*.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) |
(*.f64 (neg.f64 (+.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) (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (*.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (*.f64 z (neg.f64 (cos.f64 y))))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))) |
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(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 (cos.f64 y) (/.f64 z x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 y) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (cos.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (neg.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) |
(/.f64 (cos.f64 y) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (cos.f64 y))) |
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) |
(pow.f64 (/.f64 x (cos.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) (neg.f64 x))) |
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 11 268× | lower-fma.f64 |
| 11 268× | lower-fma.f32 |
| 6 406× | lower-*.f64 |
| 6 406× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 4327 |
| 1 | 1352 | 4259 |
| 2 | 4724 | 4238 |
| 0 | 8199 | 3958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* 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 |
(+ 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) |
(* 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) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (* x (pow y 3))) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (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 |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3)))))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x)))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* -1/6 (pow y 3)))))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* -1/6 (pow y 3)))))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (+ y (* -1/6 (pow y 3)))))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* -1/6 (pow y 3)) (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* 1/6 (pow y 3))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* 1/6 (pow y 3)))))) |
(+ (* -1/6 (* x (pow y 3))) (* x y)) |
(+ (* -1/6 (* x (pow y 3))) (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ (* -1/6 (* x (pow y 3))) (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ (* -1/6 (* x (pow y 3))) (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (* x (pow y 3)) z)) (/ (* x y) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (* x (pow y 3)) z)) (/ (* x y) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (* x (pow y 3)) z)) (/ (* x y) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ (* -1/6 (* x (pow y 3))) (* x y)) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ (* -1/6 (* x (pow y 3))) (* x y)) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ (* -1/6 (* x (pow y 3))) (* x y)) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))) |
(* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))) |
(* (pow y 2) (+ (* -1/2 z) (* -1/6 (* x y)))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1/2 (* (pow y 2) z)) |
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))) |
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))) |
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))) |
(* -1/6 (* x (pow y 3))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3)))) |
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* -1/6 (pow y 3)))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x))))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x))))) |
(* -1 (* x (+ (* 1/6 (pow y 3)) (* 1/2 (/ (* (pow y 2) z) x))))) |
(* -1/6 (* x (pow y 3))) |
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))) |
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))) |
(+ (* -1/2 (* (pow y 2) z)) (* -1/6 (* x (pow y 3)))) |
(* -1/2 (* (pow y 2) z)) |
(* z (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))) |
(* z (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))) |
(* z (+ (* -1/2 (pow y 2)) (* -1/6 (/ (* x (pow y 3)) z)))) |
(* -1/2 (* (pow y 2) z)) |
(* -1 (* z (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* 1/6 (/ (* x (pow y 3)) z)) (* 1/2 (pow y 2))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* y (+ (* -1/2 (/ z y)) (* -1/6 x))) |
(* -1/6 (* x y)) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y))))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -1/6 (* x y)) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* x (+ (* -1/2 (/ z x)) (* -1/6 y))) |
(* -1/6 (* x y)) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x))))) |
(* -1/6 (* x y)) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(+ (* -1/2 z) (* -1/6 (* x y))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* z (- (* -1/6 (/ (* x y) z)) 1/2)) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* 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))))) |
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))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(* z (+ (/ (cos y) x) (/ (sin y) z))) |
(/ (* z (cos y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(/ z x) |
(+ y (/ z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(+ (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)) |
(/ (* z (cos y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(sin y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(/ 1 x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(* 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)) |
| Outputs |
|---|
(* 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 |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #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 x (*.f64 y #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 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))) |
(* 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))) |
(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)) 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 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(+ (* 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)))) |
(fma.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 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)))) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z 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) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) 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) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (neg.f64 (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(neg.f64 (fma.f64 x (/.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))))) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(fma.f64 y (fma.f64 y (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 x (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z)) (/.f64 x z) (*.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64))) (neg.f64 y) (fma.f64 x (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) z))) (/.f64 x (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) z)) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/ 1 (* z (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z z)))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 x (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 (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 (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(fma.f64 x (fma.f64 x (-.f64 (/.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 (*.f64 x (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 (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)))) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (-.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(neg.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))) |
(* -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)) |
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(/.f64 (*.f64 z (cos.f64 y)) x) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(/ z x) |
(/.f64 z x) |
(+ y (/ z x)) |
(+.f64 y (/.f64 z x)) |
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x)) |
(fma.f64 y (fma.f64 y (/.f64 (*.f64 z #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 z x)) |
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x)) |
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 z x)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(/ (* z (cos y)) x) |
(/.f64 (*.f64 z (cos.f64 y)) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) x) |
(/ (+ (* x (sin y)) (* z (cos y))) x) |
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) x) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(+ (sin y) (/ (* z (cos y)) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/24 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1/24 binary64) x))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 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 y y) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (*.f64 x (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) (*.f64 x #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)) |
(* 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)) |
Compiled 28 600 to 1 909 computations (93.3% saved)
40 alts after pruning (35 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 008 | 16 | 1 024 |
| Fresh | 3 | 19 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 014 | 40 | 1 054 |
| Status | Accuracy | Program |
|---|---|---|
| 77.4% | (fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (*.f64 (sin.f64 y) x)) | |
| 40.3% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 40.7% | (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) | |
| 54.2% | (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) | |
| 53.7% | (fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) | |
| 33.2% | (fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) | |
| 40.7% | (fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) | |
| ✓ | 54.5% | (fma.f64 y x z) |
| 50.4% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 42.3% | (/.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 (-.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 y))))))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 37.3% | (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 83.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 36.9% | (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) | |
| ▶ | 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
| ▶ | 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| 34.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 53.7% | (+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) | |
| 54.0% | (+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) | |
| 45.4% | (+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) | |
| 66.9% | (*.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))) | |
| 21.3% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))) | |
| 33.7% | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) | |
| 3.0% | (*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) | |
| 2.9% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) | |
| 3.0% | (*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) | |
| 40.7% | (*.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))) | |
| 40.3% | (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| ▶ | 94.6% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
| ✓ | 67.1% | (*.f64 z (cos.f64 y)) |
| ▶ | 41.7% | (*.f64 z #s(literal 1 binary64)) |
| 42.4% | (*.f64 y (+.f64 x (/.f64 z y))) | |
| 84.2% | (*.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))) | |
| ✓ | 84.1% | (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
| ▶ | 15.9% | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| 33.6% | (*.f64 x (/.f64 z x)) | |
| 84.0% | (*.f64 x (*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))) | |
| 34.5% | (*.f64 x (sin.f64 y)) | |
| ✓ | 16.2% | (*.f64 x y) |
Compiled 1 174 to 722 computations (38.5% 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 | (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | cost-diff | 320 | (*.f64 z #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) z) |
| ✓ | cost-diff | 0 | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
| ✓ | cost-diff | 704 | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
| 6 818× | lower-*.f32 |
| 6 804× | lower-*.f64 |
| 4 628× | lower-/.f32 |
| 4 618× | lower-/.f64 |
| 3 670× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 133 |
| 0 | 46 | 123 |
| 1 | 90 | 123 |
| 2 | 210 | 121 |
| 3 | 438 | 120 |
| 4 | 628 | 120 |
| 5 | 812 | 120 |
| 6 | 1345 | 120 |
| 7 | 1915 | 120 |
| 8 | 2304 | 120 |
| 9 | 2579 | 120 |
| 10 | 2794 | 120 |
| 11 | 2961 | 120 |
| 12 | 3190 | 120 |
| 13 | 3503 | 120 |
| 14 | 3894 | 120 |
| 15 | 4372 | 120 |
| 16 | 4924 | 120 |
| 17 | 5136 | 120 |
| 18 | 5238 | 120 |
| 19 | 5320 | 120 |
| 20 | 5382 | 120 |
| 21 | 5444 | 120 |
| 22 | 5963 | 120 |
| 0 | 8893 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
z |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
x |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
y |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
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 |
|---|
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) |
z |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
(cos.f64 y) |
(*.f64 z #s(literal 1 binary64)) |
z |
z |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) |
x |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y) |
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
y |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(*.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 |
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 | 100.0% | (*.f64 z #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 95.2% | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 y) |
| ✓ | accuracy | 99.9% | (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) z) |
| ✓ | accuracy | 94.7% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
| 100.0ms | 256× | 0 | valid |
Compiled 146 to 30 computations (79.5% saved)
ival-mult: 52.0ms (63.4% of total)ival-div: 10.0ms (12.2% of total)ival-sin: 7.0ms (8.5% of total)ival-add: 5.0ms (6.1% of total)ival-cos: 5.0ms (6.1% of total)const: 4.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))> |
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))> |
#<alt (/.f64 (sin.f64 y) z)> |
#<alt (sin.f64 y)> |
#<alt (*.f64 z #s(literal 1 binary64))> |
#<alt (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))> |
#<alt (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y))> |
#<alt (*.f64 y y)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))> |
#<alt (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)> |
#<alt (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x)> |
#<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 (*.f64 z #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<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 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 (* 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) (/ (* x (sin y)) z)))> |
#<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) (/ (* x (sin y)) z)))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))> |
#<alt 1> |
#<alt (+ 1 (/ (* x y) z))> |
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))> |
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ (* x (sin y)) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (cos y)> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (+ (cos y) (/ (* x (sin y)) z))> |
#<alt (/ y z)> |
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))> |
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))> |
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (sin y) z)> |
#<alt (/ (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> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x (+ y (* -1/6 (pow y 3))))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 3)))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (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)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))> |
#<alt (* x y)> |
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))> |
#<alt (* x y)> |
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))> |
#<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 (+ (* 1/2 (/ 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 (/ -2 (* (pow y 2) z))> |
#<alt (/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3)))) (pow y 2))) (+ (* 4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ (* 2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) z)) (* 8 (/ x (pow z 2)))) (pow y 3))) (+ (* 4 (/ x (* y (pow z 2)))) (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* 2 (/ 1 z)) (* 4 (/ 1 (* (pow y 2) z))))))) (pow y 2))> |
#<alt (/ -2 (* (pow y 2) z))> |
#<alt (/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2))> |
#<alt (/ (- (* -1 (/ (- (+ (* 8 (/ (pow x 2) (* y (pow z 3)))) (/ 4 (* y z))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2))> |
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ x (* y (pow z 2)))) (* -2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) (* y z)))) (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3))))) y)) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2))> |
#<alt (/ 1 (* x y))> |
#<alt (+ (* z (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (+ (* z (- (+ (* -1 (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* x y))) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (+ (* z (- (+ (* 1/2 (/ 1 (pow x 2))) (* z (- (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* (pow x 2) (pow y 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (* x y))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))> |
#<alt (/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (/ (+ (* -1 (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z)> |
#<alt (/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) z)> |
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z)> |
#<alt (/ -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* x y) (* z (pow (- (* 1/2 (pow y 2)) 1) 2)))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) z)) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))> |
#<alt (/ 1 (+ z (* -1/2 (* (pow y 2) z))))> |
#<alt (+ (* -1 (/ (* x y) (pow (+ z (* -1/2 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))> |
#<alt (+ (* x (- (/ (* x (pow y 2)) (pow (+ z (* -1/2 (* (pow y 2) z))) 3)) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow (+ z (* -1/2 (* (pow y 2) z))) 4))) (* -1 (/ (pow y 2) (pow (+ z (* -1/2 (* (pow y 2) z))) 3))))) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z)))))> |
#<alt (/ 1 (* x y))> |
#<alt (/ (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) x)) (/ 1 y)) x)> |
#<alt (/ (- (+ (/ 1 y) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 3) (pow y 2)))) (/ 1 y)) (+ (* -1 (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))) x)> |
#<alt (/ 1 (* x y))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* x y)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* x (pow y 2))) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) y)) x)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x))> |
#<alt z> |
#<alt (+ z (* x y))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2)))))> |
#<alt (* -1/2 (* (pow y 2) z))> |
#<alt (* (pow y 2) (+ (* -1/2 z) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)))> |
#<alt (* x y)> |
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (+ (* x y) (* z (+ 1 (* -1/2 (pow y 2)))))> |
#<alt (* z (+ 1 (* -1/2 (pow y 2))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))> |
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z))))> |
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1)))> |
#<alt (+ z (* -1/2 (* (pow y 2) z)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))> |
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x y)))> |
#<alt (* x y)> |
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)))))> |
#<alt x> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* y (+ (* -1/2 z) (/ x y)))> |
#<alt (* y (+ (* -1/2 z) (/ x y)))> |
#<alt (* y (+ (* -1/2 z) (/ x y)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))> |
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z))))> |
#<alt x> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* z (+ (* -1/2 y) (/ x z)))> |
#<alt (* z (+ (* -1/2 y) (/ x z)))> |
#<alt (* z (+ (* -1/2 y) (/ x z)))> |
#<alt (* -1/2 (* y z))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))> |
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y))))> |
#<alt (* -1/2 (* y z))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt (+ x (* -1/2 (* y z)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))> |
#<alt (* x (+ 1 (* -1/2 (/ (* y z) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ (* y z) x)) 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 (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
#<alt (* -1/2 z)> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ 1 (+ (* y (+ (* y (* z -1/2)) x)) z)) |
| 2.0ms | x | @ | 0 | (/ 1 (+ (* y (+ (* y (* z -1/2)) x)) z)) |
| 1.0ms | y | @ | inf | (* z (+ (* x (/ (sin y) z)) (cos y))) |
| 1.0ms | z | @ | 0 | (/ 1 (+ (* y (+ (* y (* z -1/2)) x)) z)) |
| 1.0ms | y | @ | inf | (/ 1 (+ (* y (+ (* y (* z -1/2)) x)) z)) |
| 1× | batch-egg-rewrite |
| 5 752× | lower-fma.f32 |
| 5 744× | lower-fma.f64 |
| 4 802× | lower-*.f32 |
| 4 788× | lower-*.f64 |
| 3 390× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 46 | 105 |
| 1 | 172 | 103 |
| 2 | 1146 | 103 |
| 0 | 8238 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
(*.f64 z #s(literal 1 binary64)) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)) |
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z) |
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) |
(/.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) |
(*.f64 z #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 z (cos.f64 y))) |
(-.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 (cos.f64 y) (neg.f64 z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 z (cos.f64 y))))) |
(fma.f64 z (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 z (*.f64 (sin.f64 y) (/.f64 x z)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 z (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 z (neg.f64 (neg.f64 (cos.f64 y))) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (*.f64 (sin.f64 y) (/.f64 x z)) z (*.f64 z (cos.f64 y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (neg.f64 z)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (neg.f64 z) (neg.f64 (cos.f64 y)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (*.f64 (cos.f64 y) (neg.f64 z)) #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 x (sin.f64 y)) (/.f64 z z) (*.f64 z (cos.f64 y))) |
(fma.f64 (neg.f64 (cos.f64 y)) (neg.f64 z) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (/.f64 (sin.f64 y) z)) x (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 z (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) z (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) z (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (neg.f64 (neg.f64 (cos.f64 y))) z (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) |
(fma.f64 (/.f64 z z) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64))) (*.f64 z (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)) (*.f64 z (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y)) (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z))) (*.f64 z (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)) (*.f64 z (cos.f64 y)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))) |
(/.f64 (+.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 z (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) z)) |
(/.f64 (+.f64 z (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x (sin.f64 y)) z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) z)) |
(/.f64 (fma.f64 (*.f64 z (cos.f64 y)) z (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (sin.f64 y))))) z) |
(/.f64 (fma.f64 (*.f64 z (cos.f64 y)) z (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sin.f64 y)) z))) z) |
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(*.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (cos.f64 y))) z) |
(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 z #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) z) |
(*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 6 962× | lower-fma.f64 |
| 6 962× | lower-fma.f32 |
| 6 368× | lower-*.f64 |
| 6 368× | lower-*.f32 |
| 2 118× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 4262 |
| 1 | 1565 | 4187 |
| 2 | 5273 | 4140 |
| 0 | 8060 | 3835 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ (* x (sin y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(/ (* x (sin y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
1 |
(+ 1 (/ (* x y) z)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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)) z)) |
(/ (* x (sin y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(cos y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (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 |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x (+ y (* -1/6 (pow y 3)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 3))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (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 |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ x y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ x y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))) |
(* x y) |
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))) |
(* x y) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* 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)) |
(/ -2 (* (pow y 2) z)) |
(/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3)))) (pow y 2))) (+ (* 4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z)))) (pow y 2)) |
(/ (- (* -1 (/ (+ (* 2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) z)) (* 8 (/ x (pow z 2)))) (pow y 3))) (+ (* 4 (/ x (* y (pow z 2)))) (+ (* 8 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (+ (* 2 (/ 1 z)) (* 4 (/ 1 (* (pow y 2) z))))))) (pow y 2)) |
(/ -2 (* (pow y 2) z)) |
(/ (- (* -4 (/ x (* y (pow z 2)))) (* 2 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (- (+ (* 8 (/ (pow x 2) (* y (pow z 3)))) (/ 4 (* y z))) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ x (* y (pow z 2)))) (* -2 (/ (* x (+ (* 8 (/ (pow x 2) (pow z 3))) (* 4 (/ 1 z)))) (* y z)))) (+ (* 4 (/ 1 z)) (* 8 (/ (pow x 2) (pow z 3))))) y)) (* -4 (/ x (pow z 2)))) y)) (* 2 (/ 1 z))) (pow y 2)) |
(/ 1 (* x y)) |
(+ (* z (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (+ (* -1 (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* x y))) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(+ (* z (- (+ (* 1/2 (/ 1 (pow x 2))) (* z (- (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* (pow x 2) (pow y 2))) (/ (* (+ 1 (* -1/2 (pow y 2))) (- (* 1/2 (/ 1 (pow x 2))) (/ 1 (* (pow x 2) (pow y 2))))) (* x y))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))) |
(/ 1 (* z (+ 1 (* -1/2 (pow y 2))))) |
(/ (+ (* -1 (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z) |
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 4)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 (* -1/2 (pow y 2))) 3)))) (/ (* x y) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z) |
(/ -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (/ (* x y) (* z (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* z (pow (- (* 1/2 (pow y 2)) 1) 3)))) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* z (pow (- (* 1/2 (pow y 2)) 1) 4))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow (- (* 1/2 (pow y 2)) 1) 3)))) z)) (/ (* x y) (pow (- (* 1/2 (pow y 2)) 1) 2))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z)) |
(/ 1 (+ z (* -1/2 (* (pow y 2) z)))) |
(+ (* -1 (/ (* x y) (pow (+ z (* -1/2 (* (pow y 2) z))) 2))) (/ 1 (+ z (* -1/2 (* (pow y 2) z))))) |
(+ (* x (- (/ (* x (pow y 2)) (pow (+ z (* -1/2 (* (pow y 2) z))) 3)) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z))))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow (+ z (* -1/2 (* (pow y 2) z))) 4))) (* -1 (/ (pow y 2) (pow (+ z (* -1/2 (* (pow y 2) z))) 3))))) (/ y (pow (+ z (* -1/2 (* (pow y 2) z))) 2)))) (/ 1 (+ z (* -1/2 (* (pow y 2) z))))) |
(/ 1 (* x y)) |
(/ (+ (* -1 (/ (+ (* -1/2 z) (/ z (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (+ (/ 1 y) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2))))) x) |
(/ (- (+ (* -1 (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 3) (pow y 2)))) (/ 1 y)) (+ (* -1 (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* (pow x 2) y))) (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))))) x) |
(/ 1 (* x y)) |
(* -1 (/ (- (+ (* -1/2 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) (* x y)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ z (* -1/2 (* (pow y 2) z))) 2) (+ (* -1/2 z) (/ z (pow y 2)))) (* x (pow y 2))) (/ (* (+ z (* -1/2 (* (pow y 2) z))) (+ (* -1/2 z) (/ z (pow y 2)))) y)) x)) (+ (* -1/2 z) (/ z (pow y 2)))) x)) (/ 1 y)) x)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ x y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ x y) (/ z (pow y 2))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ x y))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z))) |
(* x y) |
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) |
(+ (* x y) (* z (+ 1 (* -1/2 (pow y 2))))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* x y) z)))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (* 1/2 (pow y 2))) 1))) |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))) |
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x y))) |
(* x y) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x (+ y (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* -1/2 (* y z))) |
(+ x (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ x y))) |
(* y (+ (* -1/2 z) (/ x y))) |
(* y (+ (* -1/2 z) (/ x y))) |
(* -1/2 (* y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/2 z)))) |
x |
(+ x (* -1/2 (* y z))) |
(+ x (* -1/2 (* y z))) |
(+ x (* -1/2 (* y z))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ x z))) |
(* z (+ (* -1/2 y) (/ x z))) |
(* z (+ (* -1/2 y) (/ x z))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 1/2 y)))) |
(* -1/2 (* y z)) |
(+ x (* -1/2 (* y z))) |
(+ x (* -1/2 (* y z))) |
(+ x (* -1/2 (* y z))) |
x |
(* x (+ 1 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (/ (* y z) x)))) |
(* x (+ 1 (* -1/2 (/ (* y z) x)))) |
x |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 1))) |
(* -1 (* x (- (* 1/2 (/ (* y z) x)) 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) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
(* -1/2 z) |
| Outputs |
|---|
(* 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 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 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 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) |
z |
(+ z (* x y)) |
(fma.f64 x y z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 y (fma.f64 y (*.f64 z #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 x (*.f64 #s(literal -1/6 binary64) y) (*.f64 z #s(literal -1/2 binary64))) x) z) |
(* 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) (/ (* 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) (/ (* 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))) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 x (sin.f64 y)) z) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(* x (+ (/ (cos y) x) (/ (sin y) z))) |
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 x (sin.f64 y)) z) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z))))) |
(*.f64 x (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* x y) z)) |
(fma.f64 x (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1/2 y) (/ x z)))) |
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z)))) |
(fma.f64 y (fma.f64 y (fma.f64 x (*.f64 (/.f64 y z) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 x (sin.f64 y)) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) |
(/ (+ (* x (sin y)) (* z (cos y))) z) |
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) z) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(cos y) |
(cos.f64 y) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(+ (cos y) (/ (* x (sin y)) z)) |
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(fma.f64 y (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (fma.f64 y (*.f64 y (/.f64 #s(literal 1/120 binary64) z)) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y (*.f64 y y)) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/5040 binary64) z) (/.f64 #s(literal 1/120 binary64) z)) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y (*.f64 y y)) (/.f64 y z)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (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)) (*.f64 y (*.f64 y y)) 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 |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
z |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x (+ y (* -1/6 (pow y 3)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* x y) |
(*.f64 x y) |
(* 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 (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* -1/6 (* x (pow y 3))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) |
(* -1/6 (* x (pow y 3))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (/.f64 x (*.f64 y y)))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (neg.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (neg.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (neg.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
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(*.f64 z (cos.f64 y)) |
(* z (cos y)) |
(*.f64 z (cos.f64 y)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(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 y (*.f64 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) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
(* -1/2 z) |
(*.f64 z #s(literal -1/2 binary64)) |
Compiled 23 940 to 2 208 computations (90.8% saved)
55 alts after pruning (49 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 025 | 26 | 1 051 |
| Fresh | 7 | 23 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 036 | 55 | 1 091 |
| Status | Accuracy | Program |
|---|---|---|
| 54.2% | (fma.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) y z) | |
| 81.9% | (fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y))) | |
| 28.1% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x)) z) | |
| 40.7% | (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) | |
| 40.3% | (fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
| 49.1% | (fma.f64 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z) | |
| 40.7% | (fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) | |
| 53.7% | (fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) | |
| ✓ | 54.5% | (fma.f64 y x z) |
| 50.4% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 32.5% | (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 31.9% | (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 x y z))) | |
| 80.1% | (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (cos.f64 y))) | |
| 37.3% | (/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) | |
| 11.6% | (/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) | |
| 67.0% | (/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z)) | |
| 83.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) | |
| 36.9% | (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) | |
| 36.9% | (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))) | |
| 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)) | |
| 49.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z))) | |
| 39.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y))) z))) | |
| 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y))))) | |
| 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))) | |
| ✓ | 67.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
| 34.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) | |
| 41.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| 3.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y z)))) | |
| 53.7% | (+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) | |
| 54.0% | (+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) | |
| 45.4% | (+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) | |
| 66.9% | (*.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))) | |
| 21.3% | (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))) | |
| 33.7% | (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) | |
| 3.0% | (*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) | |
| 2.9% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) | |
| 3.0% | (*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) | |
| 90.1% | (*.f64 z (fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y))) | |
| 40.7% | (*.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))) | |
| 40.3% | (*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 68.4% | (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) | |
| 53.7% | (*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) | |
| 29.4% | (*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z)) | |
| 3.3% | (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) | |
| ✓ | 67.1% | (*.f64 z (cos.f64 y)) |
| 42.4% | (*.f64 y (+.f64 x (/.f64 z y))) | |
| 84.2% | (*.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))) | |
| ✓ | 15.9% | (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
| 33.6% | (*.f64 x (/.f64 z x)) | |
| 46.5% | (*.f64 x (+.f64 y (/.f64 (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x))) | |
| 34.5% | (*.f64 x (sin.f64 y)) | |
| ✓ | 16.2% | (*.f64 x y) |
| 41.7% | z |
Compiled 1 899 to 782 computations (58.8% saved)
| Inputs |
|---|
z |
(*.f64 x y) |
(*.f64 z #s(literal 1 binary64)) |
(fma.f64 y x z) |
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 x (/.f64 z x)) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(fma.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) y z) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
(*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) 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 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 x (+.f64 y (/.f64 (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x))) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) |
(*.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 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x)) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 x y z))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) |
(fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z)) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
(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 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) |
(*.f64 z (fma.f64 (/.f64 x z) (sin.f64 y) (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 x (sin.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))) |
(fma.f64 (/.f64 (cos.f64 y) x) (*.f64 z x) (*.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (sin.f64 y) z) (*.f64 x z) (*.f64 z (cos.f64 y))) |
(/.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) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 x (*.f64 z (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(/.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 (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (*.f64 (sin.f64 y) (/.f64 x 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 (-.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 y))))))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) |
(neg.f64 (*.f64 x (fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.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)) (sin.f64 y))))) |
(fma.f64 x (/.f64 (*.f64 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)))) (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 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))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
4 calls:
| 38.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 37.0ms | y |
| 24.0ms | x |
| 21.0ms | z |
| 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 (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 x (/.f64 z x)) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(fma.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) y z) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
(*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) 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 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 x (+.f64 y (/.f64 (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x))) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) |
(*.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 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x)) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 x y z))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) |
(fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z)) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))) |
| Outputs |
|---|
(*.f64 z (cos.f64 y)) |
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(*.f64 z (cos.f64 y)) |
4 calls:
| 51.0ms | y |
| 41.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 15.0ms | z |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | x |
| 80.6% | 3 | y |
| 82.3% | 3 | z |
| 77.4% | 4 | (+.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 (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 x (/.f64 z x)) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(fma.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) y z) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
(*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) 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 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 x (+.f64 y (/.f64 (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x))) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) |
(*.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 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x)) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 x y z))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) |
(fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) |
(*.f64 x (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
(*.f64 z (/.f64 (*.f64 x (sin.f64 y)) z)) |
| Outputs |
|---|
(*.f64 z (cos.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)) |
3 calls:
| 45.0ms | y |
| 13.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | y |
| 80.3% | 3 | x |
| 79.6% | 3 | z |
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 (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 x (/.f64 z x)) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(fma.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) y z) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
(*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) 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 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 x (+.f64 y (/.f64 (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x))) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) |
(*.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 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x)) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 x y z))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) |
(fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) |
(*.f64 x (sin.f64 y)) |
| Outputs |
|---|
(*.f64 x (sin.f64 y)) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 x (sin.f64 y)) |
4 calls:
| 28.0ms | x |
| 25.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 2 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 60.7% | 3 | z |
| 60.2% | 3 | x |
| 72.4% | 3 | 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 (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 x (/.f64 z x)) |
(fma.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64))) z) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) z) |
(fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) |
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z) |
(fma.f64 (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) y z) |
(*.f64 y (+.f64 x (/.f64 z y))) |
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) y) |
(*.f64 (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) |
(fma.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) |
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x) z) |
(+.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 z (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) |
(fma.f64 (*.f64 y y) (*.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) 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 z (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 y z)))) |
(*.f64 x (+.f64 y (/.f64 (fma.f64 (*.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x))) |
(+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/6 binary64)))) |
(*.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 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))) |
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) x) (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y y)) (fma.f64 y x z)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 (/.f64 x (*.f64 z z))) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z))) z))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y x))))) (fma.f64 y x z)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 x (neg.f64 x))) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 z #s(literal -1/2 binary64))) x)) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 x y z) (fma.f64 x y z))) (-.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal -1/2 binary64)))) (fma.f64 x y z))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) (-.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (*.f64 x y))) |
(fma.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)))) (-.f64 x (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))) z) |
| Outputs |
|---|
(fma.f64 y x z) |
4 calls:
| 100.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 49.0ms | z |
| 13.0ms | x |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 54.5% | 1 | x |
| 54.5% | 1 | z |
| 54.5% | 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 |
(*.f64 x y) |
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 |
|---|---|---|
| 41.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 41.7% | 1 | z |
| 41.7% | 1 | y |
| 46.9% | 3 | x |
Compiled 24 to 17 computations (29.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
z |
| Outputs |
|---|
z |
2 calls:
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.7% | 1 | z |
| 41.7% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 216906163.94881776 | 69781330368407.56 |
| 87.0ms | -5.3596596886347856e+101 | -2.3329399132215468e+100 |
| 22.0ms | 256× | 0 | valid |
Compiled 351 to 254 computations (27.6% saved)
ival-sin: 6.0ms (37.2% of total)ival-cos: 5.0ms (31% of total)ival-mult: 3.0ms (18.6% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.4868802003845423 | 1.8863858660311994 |
| 81.0ms | -0.004651867625069663 | -8.234008329595666e-6 |
| 81.0ms | 208× | 0 | valid |
Compiled 353 to 235 computations (33.4% saved)
ival-sin: 71.0ms (93.3% of total)ival-mult: 3.0ms (3.9% of total)ival-cos: 2.0ms (2.6% of total)ival-add: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.001292407125007739 | 0.4868802003845423 |
| 99.0ms | -44923261989888730.0 | -73978485.0470907 |
| 101.0ms | 272× | 0 | valid |
Compiled 508 to 337 computations (33.7% saved)
ival-cos: 83.0ms (88% of total)ival-sin: 6.0ms (6.4% of total)ival-mult: 4.0ms (4.2% of total)ival-add: 1.0ms (1.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.794173011480538e+228 | 3.8797693516245206e+231 |
| 30.0ms | -1.9884701940010797e+167 | -9.84945763105692e+164 |
| 36.0ms | 240× | 0 | valid |
Compiled 195 to 149 computations (23.6% saved)
ival-cos: 21.0ms (69.6% of total)ival-sin: 5.0ms (16.6% of total)ival-mult: 3.0ms (9.9% of total)ival-add: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 116 |
| 1 | 63 | 116 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(if (<=.f64 z #s(literal -23500000000000000082317607245498713462728614101743575269625093902886492926828534032076011685982240768 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 27000000000000 binary64)) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) (*.f64 z (cos.f64 y)))) |
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1/2 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 -75000000 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5224175567749775/36028797018963968 binary64)) (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) (*.f64 x (sin.f64 y)))) |
(fma.f64 y x z) |
(if (<=.f64 x #s(literal -1300000000000000053465083181541510593645416366215154858624151830434570872697697022808699889213735769349494854063125172545973938891537281623918424911742591274537975808 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2549999999999999857995564537176265175719116986379530743386044593968029532213999267012040741441931502661059121664112240949780508870370774672324341426894138662263397582441728827732024823704109796232177113473202312848416926993481728 binary64)) z (*.f64 x y))) |
z |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(if (<=.f64 z #s(literal -23500000000000000082317607245498713462728614101743575269625093902886492926828534032076011685982240768 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 27000000000000 binary64)) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64))) (*.f64 z (cos.f64 y)))) |
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1/2 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 -662929865148937/144115188075855872 binary64)) (*.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1/2 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 -75000000 binary64)) (*.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5224175567749775/36028797018963968 binary64)) (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) (*.f64 x (sin.f64 y)))) |
(if (<=.f64 y #s(literal -75000000 binary64)) (*.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 5224175567749775/36028797018963968 binary64)) (+.f64 (*.f64 (fma.f64 y (*.f64 x #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) (fma.f64 y x z)) (*.f64 (sin.f64 y) x))) |
(fma.f64 y x z) |
(if (<=.f64 x #s(literal -1300000000000000053465083181541510593645416366215154858624151830434570872697697022808699889213735769349494854063125172545973938891537281623918424911742591274537975808 binary64)) (*.f64 x y) (if (<=.f64 x #s(literal 2549999999999999857995564537176265175719116986379530743386044593968029532213999267012040741441931502661059121664112240949780508870370774672324341426894138662263397582441728827732024823704109796232177113473202312848416926993481728 binary64)) z (*.f64 x y))) |
(if (<=.f64 x #s(literal -1300000000000000053465083181541510593645416366215154858624151830434570872697697022808699889213735769349494854063125172545973938891537281623918424911742591274537975808 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 2549999999999999857995564537176265175719116986379530743386044593968029532213999267012040741441931502661059121664112240949780508870370774672324341426894138662263397582441728827732024823704109796232177113473202312848416926993481728 binary64)) z (*.f64 y x))) |
z |
| 12 858× | lower-fma.f64 |
| 12 858× | lower-fma.f32 |
| 11 480× | lower-fma.f64 |
| 11 480× | lower-fma.f32 |
| 8 188× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 4262 |
| 1 | 1565 | 4187 |
| 2 | 5273 | 4140 |
| 0 | 8060 | 3835 |
| 0 | 24 | 115 |
| 0 | 46 | 105 |
| 1 | 172 | 103 |
| 2 | 1146 | 103 |
| 0 | 8238 | 101 |
| 0 | 29 | 149 |
| 0 | 56 | 122 |
| 1 | 238 | 96 |
| 2 | 1991 | 96 |
| 0 | 9198 | 96 |
| 0 | 574 | 5772 |
| 1 | 1955 | 5632 |
| 2 | 6925 | 5608 |
| 0 | 8154 | 5124 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 278 to 156 computations (43.9% saved)
Compiled 262 to 116 computations (55.7% saved)
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